Question

If A= and B= , find BA

Answer 1

Answer:

$\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\6&6&-19\end{array}\right]$

Step-by-step explanation:

Given that A = $\left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right]$ and B = $\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right]$.

Therefore, BA = $\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right]$ × $\left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right]$ = $\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\6&6&-19\end{array}\right]$ (Answer)

For, the 1st row-1st column element is obtained by multiplying the 1st row of B matrix and 1st column of A matrix.

Similarly, the 1st row-2nd column element is obtained by multiplying the 1st row of B matrix and 2nd column of A matrix.

And so on. (Answer)