\left| \begin{array} { c c c } { 1 } & { 1 } & { k } \\ { - 18 } & { 0 } & { 0 } \\ { 9 } & { 5 } & { - 5 } \end{array} \right|
Aromātai
-90k-90
Whātahi e ai ki k
С-45k^{2}-90k
Tohaina
Kua tāruatia ki te papatopenga
det(\left(\begin{matrix}1&1&k\\-18&0&0\\9&5&-5\end{matrix}\right))
Kimihia te tau whakatau o te poukapa mā te whakamahi i te tikanga hauroki.
\left(\begin{matrix}1&1&k&1&1\\-18&0&0&-18&0\\9&5&-5&9&5\end{matrix}\right)
Whakaroatia te poukapa taketake mā te tāruarua i ngā tīwae tuatahi e rua hei tīwae tuawhā me te tuarima.
k\left(-18\right)\times 5=-90k
Tīmata atu i te tāurunga mauī o runga, whakareatia whakararo i ngā hauroki, ka tāpiri i ngā hua ka puta.
-5\left(-18\right)=90
Tīmata atu i te tāurunga mauī o raro, whakareatia whakarunga i ngā hauroki, ka tāpiri i ngā hua ka puta.
-90k-90
Tangohia te tapeke o ngā hauroki whakarunga mai i te tapeke o ngā hua hauroki whakararo.
det(\left(\begin{matrix}1&1&k\\-18&0&0\\9&5&-5\end{matrix}\right))
Kimihia te tau whakatau o te poukapa mā te whakamahi i te tikanga whakaroha ā-tauriki (te tikanga whakaroha ā-tauwehe tahi rānei).
det(\left(\begin{matrix}0&0\\5&-5\end{matrix}\right))-det(\left(\begin{matrix}-18&0\\9&-5\end{matrix}\right))+kdet(\left(\begin{matrix}-18&0\\9&5\end{matrix}\right))
Hei whakaroha mā ngā tauriki, me whakarea ia huānga o te haupae tuatahi ki tana tauriki, arā, ko te tau whakatau o te poukapa 2\times 2 i hangā mā te muku i te haupae me te tīwae i roto anō taua huānga, kātahi ka whakarea ki te tohu tūnga o taua huānga.
-\left(-18\left(-5\right)\right)+k\left(-18\right)\times 5
Mō te poukapa 2\times 2 \left(\begin{matrix}a&b\\c&d\end{matrix}\right), ko te ad-bc te tau whakatau.
-90+k\left(-90\right)
Whakarūnātia.
-90k-90
Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.
Ngā Tauira
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Arithmetic
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Poukapa
\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]
whārite Simultaneous
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Whakarerekētanga
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Whakaurunga
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Ngā Tepe
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