if it is -31F in one city and in another city it is 83,what is the temperature difference between the two cities?

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Ответ:

PanjiUR9220

21.10.2022

Mathematics

No value of k will make AB=BA

Step-by-step explanation:

$A=\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right), $ $B=\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right) \\\\\\AB=\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right)\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right)=\left(\begin{array}{ccc}3*2+2*-3&3*6+2*k\\-1*2+2*-3&-1*6+2k\end{array}\right)=\left(\begin{array}{ccc}0&18+2k\\-8&-6+2k\end{array}\right)$

$BA=\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right)\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right)=\left(\begin{array}{ccc}0&16\\-6&-6+2k\end{array}\right)$

We can see that $AB \neq BA$ . Therefore, there is no value of k that will make it equal. In general, matrix multiplication is not commutative.

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if it is -31*F in one city and in another city it is 83*,what is the temperature difference between the two cities?