\left( \begin{array} { c c } { - 1 } & { - 4 } \\ { 1 } & { 1 } \end{array} \right) \left( \begin{array} { l l } { 1 } & { 0 } \\ { 0 } & { 64 \times 64 } \end{array} \right)
Evaluate
\left(\begin{matrix}-1&-16384\\1&4096\end{matrix}\right)
Calculate Determinant
12288
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\left(\begin{matrix}-1&-4\\1&1\end{matrix}\right)\left(\begin{matrix}1&0\\0&4096\end{matrix}\right)
Multiply 64 and 64 to get 4096.
\left(\begin{matrix}-1&\\&\end{matrix}\right)
Multiply each element of the first row of the first matrix by the corresponding element of the first column of the second matrix and then add these products to obtain the element in the first row, first column of the product matrix.
\left(\begin{matrix}-1&-4\times 4096\\1&4096\end{matrix}\right)
The remaining elements of the product matrix are found in the same way.
\left(\begin{matrix}-1&-16384\\1&4096\end{matrix}\right)
Simplify each element by multiplying the individual terms.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}