Answer:
[tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\6&6&-19\end{array}\right][/tex]
Step-by-step explanation:
Given that A = [tex]\left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex] and B = [tex]\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right][/tex].
Therefore, BA = [tex]\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right][/tex] × [tex]\left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\6&6&-19\end{array}\right][/tex] (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)
