\left. \begin{array} { l l l } { ( \frac { 1 } { 4 } + \frac { 1 } { 3 } ) \times 12 } & { \frac { 12 } { 5 } \times \frac { 7 } { 5 } + \frac { 3 } { 5 } } & { ( \frac { 2 } { 3 } + \frac { 1 } { 3 } ) \div \frac { 2 } { 3 } } \\ { 1 \frac { 5 } { 7 } + 2 \frac { 3 } { 4 } + \frac { 2 } { 7 } } & { 1 \div \frac { 5 } { 7 } \div \frac { 5 } { 7 } } & { \frac { 1 } { 8 } \times \frac { 2 } { 3 } + \frac { 1 } { 3 } } \\ { \frac { 3 } { 5 } \times \frac { 1 } { 3 } + \frac { 1 } { 4 } } & { \frac { 8 } { 3 } \times ( 1 \frac { 1 } { 4 } - 1 ) } & { \frac { 7 } { 4 } \times \frac { 4 } { 15 } \div \frac { 7 } { 4 } } \\ \hline \end{array} \right.
डेटर्मिनेन्ट हिसाब गर्नुहोस्
\frac{15619}{18000} = 0.8677222222222222
मूल्याङ्कन गर्नुहोस्
\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{2}{3}&\frac{4}{15}\end{matrix}\right)
साझेदारी गर्नुहोस्
क्लिपबोर्डमा प्रतिलिपि गरियो
det(\left(\begin{matrix}\frac{7}{12}\times 12&\frac{12}{5}\times \frac{7}{5}+\frac{3}{5}&\frac{\frac{2}{3}+\frac{1}{3}}{\frac{2}{3}}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{7}{12} प्राप्त गर्नको लागि \frac{1}{4} र \frac{1}{3} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{12}{5}\times \frac{7}{5}+\frac{3}{5}&\frac{\frac{2}{3}+\frac{1}{3}}{\frac{2}{3}}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
7 प्राप्त गर्नको लागि \frac{7}{12} र 12 गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{84}{25}+\frac{3}{5}&\frac{\frac{2}{3}+\frac{1}{3}}{\frac{2}{3}}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{84}{25} प्राप्त गर्नको लागि \frac{12}{5} र \frac{7}{5} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{\frac{2}{3}+\frac{1}{3}}{\frac{2}{3}}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{99}{25} प्राप्त गर्नको लागि \frac{84}{25} र \frac{3}{5} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{1}{\frac{2}{3}}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
1 प्राप्त गर्नको लागि \frac{2}{3} र \frac{1}{3} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&1\times \frac{3}{2}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{2}{3} को उल्टोले 1 लाई गुणन गरी 1 लाई \frac{2}{3} ले भाग गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{3}{2} प्राप्त गर्नको लागि 1 र \frac{3}{2} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
7 प्राप्त गर्नको लागि 1 र 7 गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{12}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
12 प्राप्त गर्नको लागि 7 र 5 जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{12}{7}+\frac{8+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
8 प्राप्त गर्नको लागि 2 र 4 गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{12}{7}+\frac{11}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
11 प्राप्त गर्नको लागि 8 र 3 जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{125}{28}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{125}{28} प्राप्त गर्नको लागि \frac{12}{7} र \frac{11}{4} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{19}{4} प्राप्त गर्नको लागि \frac{125}{28} र \frac{2}{7} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{7}{\frac{5}{7}\times 5}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{5}{7} को उल्टोले \frac{1}{\frac{5}{7}} लाई गुणन गरी \frac{1}{\frac{5}{7}} लाई \frac{5}{7} ले भाग गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{7}{\frac{25}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{25}{7} प्राप्त गर्नको लागि \frac{5}{7} र 5 गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&7\times \frac{7}{25}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{25}{7} को उल्टोले 7 लाई गुणन गरी 7 लाई \frac{25}{7} ले भाग गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{49}{25} प्राप्त गर्नको लागि 7 र \frac{7}{25} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{1}{12}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{1}{12} प्राप्त गर्नको लागि \frac{1}{8} र \frac{2}{3} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{5}{12} प्राप्त गर्नको लागि \frac{1}{12} र \frac{1}{3} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{1}{5}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{1}{5} प्राप्त गर्नको लागि \frac{3}{5} र \frac{1}{3} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{9}{20} प्राप्त गर्नको लागि \frac{1}{5} र \frac{1}{4} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{8}{3}\left(\frac{4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
4 प्राप्त गर्नको लागि 1 र 4 गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{8}{3}\left(\frac{5}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
5 प्राप्त गर्नको लागि 4 र 1 जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{8}{3}\times \frac{1}{4}&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{1}{4} प्राप्त गर्नको लागि 1 बाट \frac{5}{4} घटाउनुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{2}{3}&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{2}{3} प्राप्त गर्नको लागि \frac{8}{3} र \frac{1}{4} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{2}{3}&\frac{4}{15}\end{matrix}\right))
\frac{7}{4} र \frac{7}{4} लाई रद्द गर्नुहोस्।
\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}&7&\frac{99}{25}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}&\frac{19}{4}&\frac{49}{25}\\\frac{9}{20}&\frac{2}{3}&\frac{4}{15}&\frac{9}{20}&\frac{2}{3}\end{matrix}\right)
पहिलो दुईवटा लहरहरूलाई चौथो र पाँचौं लहरहरूको रूपमा दोहोराएर वास्तविक मेट्रिक्सलाई विस्तार गर्नुहोस्।
7\times \frac{49}{25}\times \frac{4}{15}+\frac{99}{25}\times \frac{5}{12}\times \frac{9}{20}+\frac{3}{2}\times \frac{19}{4}\times \frac{2}{3}=\frac{54907}{6000}
माथिल्लो देव्रे प्रवेश द्वारबाट सुरु गरी, विकर्णसँग तल गुणन गर्नुहोस् र परिणामी गुणनफलहरू जोड्नुहोस्।
\frac{9}{20}\times \frac{49}{25}\times \frac{3}{2}+\frac{2}{3}\times \frac{5}{12}\times 7+\frac{4}{15}\times \frac{19}{4}\times \frac{99}{25}=\frac{74551}{9000}
तल्लो दाहिने प्रवेश द्वारबाट सुरु गरी, विकर्णसँग माथि गुणन गर्नुहोस् र परिणामी गुणनफलहरू जोड्नुहोस्।
\frac{54907}{6000}-\frac{74551}{9000}
माथिल्लो विकर्ण गुणनफलहरूको योगफललाई तल्लो विकर्ण गुणनफलहरूको योगफलबाट घटाउनुहोस्।
\frac{15619}{18000}
साझा हर पत्ता लगाइ र अंश घटाएर \frac{54907}{6000} बाट \frac{74551}{9000} घटाउनुहोस्। त्यसपछि सम्भव भएमा भिन्नलाई न्यूनतम पदमा झार्नुहोस्।
det(\left(\begin{matrix}\frac{7}{12}\times 12&\frac{12}{5}\times \frac{7}{5}+\frac{3}{5}&\frac{\frac{2}{3}+\frac{1}{3}}{\frac{2}{3}}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{7}{12} प्राप्त गर्नको लागि \frac{1}{4} र \frac{1}{3} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{12}{5}\times \frac{7}{5}+\frac{3}{5}&\frac{\frac{2}{3}+\frac{1}{3}}{\frac{2}{3}}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
7 प्राप्त गर्नको लागि \frac{7}{12} र 12 गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{84}{25}+\frac{3}{5}&\frac{\frac{2}{3}+\frac{1}{3}}{\frac{2}{3}}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{84}{25} प्राप्त गर्नको लागि \frac{12}{5} र \frac{7}{5} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{\frac{2}{3}+\frac{1}{3}}{\frac{2}{3}}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{99}{25} प्राप्त गर्नको लागि \frac{84}{25} र \frac{3}{5} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{1}{\frac{2}{3}}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
1 प्राप्त गर्नको लागि \frac{2}{3} र \frac{1}{3} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&1\times \frac{3}{2}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{2}{3} को उल्टोले 1 लाई गुणन गरी 1 लाई \frac{2}{3} ले भाग गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{1\times 7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{3}{2} प्राप्त गर्नको लागि 1 र \frac{3}{2} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{7+5}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
7 प्राप्त गर्नको लागि 1 र 7 गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{12}{7}+\frac{2\times 4+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
12 प्राप्त गर्नको लागि 7 र 5 जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{12}{7}+\frac{8+3}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
8 प्राप्त गर्नको लागि 2 र 4 गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{12}{7}+\frac{11}{4}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
11 प्राप्त गर्नको लागि 8 र 3 जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{125}{28}+\frac{2}{7}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{125}{28} प्राप्त गर्नको लागि \frac{12}{7} र \frac{11}{4} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{\frac{1}{\frac{5}{7}}}{\frac{5}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{19}{4} प्राप्त गर्नको लागि \frac{125}{28} र \frac{2}{7} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{7}{\frac{5}{7}\times 5}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{5}{7} को उल्टोले \frac{1}{\frac{5}{7}} लाई गुणन गरी \frac{1}{\frac{5}{7}} लाई \frac{5}{7} ले भाग गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{7}{\frac{25}{7}}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{25}{7} प्राप्त गर्नको लागि \frac{5}{7} र 5 गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&7\times \frac{7}{25}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{25}{7} को उल्टोले 7 लाई गुणन गरी 7 लाई \frac{25}{7} ले भाग गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{49}{25} प्राप्त गर्नको लागि 7 र \frac{7}{25} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{1}{12}+\frac{1}{3}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{1}{12} प्राप्त गर्नको लागि \frac{1}{8} र \frac{2}{3} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{3}{5}\times \frac{1}{3}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{5}{12} प्राप्त गर्नको लागि \frac{1}{12} र \frac{1}{3} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{1}{5}+\frac{1}{4}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{1}{5} प्राप्त गर्नको लागि \frac{3}{5} र \frac{1}{3} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{8}{3}\left(\frac{1\times 4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{9}{20} प्राप्त गर्नको लागि \frac{1}{5} र \frac{1}{4} जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{8}{3}\left(\frac{4+1}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
4 प्राप्त गर्नको लागि 1 र 4 गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{8}{3}\left(\frac{5}{4}-1\right)&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
5 प्राप्त गर्नको लागि 4 र 1 जोड्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{8}{3}\times \frac{1}{4}&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{1}{4} प्राप्त गर्नको लागि 1 बाट \frac{5}{4} घटाउनुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{2}{3}&\frac{\frac{7}{4}\times \frac{4}{15}}{\frac{7}{4}}\end{matrix}\right))
\frac{2}{3} प्राप्त गर्नको लागि \frac{8}{3} र \frac{1}{4} गुणा गर्नुहोस्।
det(\left(\begin{matrix}7&\frac{99}{25}&\frac{3}{2}\\\frac{19}{4}&\frac{49}{25}&\frac{5}{12}\\\frac{9}{20}&\frac{2}{3}&\frac{4}{15}\end{matrix}\right))
\frac{7}{4} र \frac{7}{4} लाई रद्द गर्नुहोस्।
7det(\left(\begin{matrix}\frac{49}{25}&\frac{5}{12}\\\frac{2}{3}&\frac{4}{15}\end{matrix}\right))-\frac{99}{25}det(\left(\begin{matrix}\frac{19}{4}&\frac{5}{12}\\\frac{9}{20}&\frac{4}{15}\end{matrix}\right))+\frac{3}{2}det(\left(\begin{matrix}\frac{19}{4}&\frac{49}{25}\\\frac{9}{20}&\frac{2}{3}\end{matrix}\right))
माइनरहरूद्वारा विस्तार गर्न, पहिलो पङ्क्तिका प्रत्येक तत्त्वलाई यसको माइनरले गुणन गर्नुहोस्, जुन पङ्क्ति र लहरमा समावेश भएको तत्त्वलाई मेटाएर डिटरमिनेन्टको 2\times 2 को मेट्रिक्स सिर्जना गरिएको हुन्छ, त्यसपछि तत्वको स्थितिको चिन्हले गुणन गर्नुहोस्।
7\left(\frac{49}{25}\times \frac{4}{15}-\frac{2}{3}\times \frac{5}{12}\right)-\frac{99}{25}\left(\frac{19}{4}\times \frac{4}{15}-\frac{9}{20}\times \frac{5}{12}\right)+\frac{3}{2}\left(\frac{19}{4}\times \frac{2}{3}-\frac{9}{20}\times \frac{49}{25}\right)
2\times 2 मेट्रिक्स \left(\begin{matrix}a&b\\c&d\end{matrix}\right) का लागि, निर्धारक ad-bc हो।
7\times \frac{551}{2250}-\frac{99}{25}\times \frac{259}{240}+\frac{3}{2}\times \frac{3427}{1500}
सरल गर्नुहोस्।
\frac{15619}{18000}
अन्तिम परिणाम निकाल्न पदहरूलाई जोड्नुहोस्।
उदाहरणहरू[सम्पादन गर्ने]
द्विघात समीकरण
{ x } ^ { 2 } - 4 x - 5 = 0
त्रिकोणमिति
4 \sin \theta \cos \theta = 2 \sin \theta
रैखिक समीकरण
y = 3x + 4
अंकगणित
699 * 533
म्याट्रिक्स
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
समकालिक समीकरण
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
भिन्नता
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
सीमाहरू
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}