Question

Please help! Correct answer only, please! Find the following product if possible. Explain if it is not possible. A. B. C. D.

Answer 1

Option (B)

Explanation:

If A =
`\begin{bmatrix}1 & 3\\ -2 & 5\end{bmatrix}` and B =
`\begin{bmatrix}-2 & 1\\ 3 & 4\end{bmatrix}`

Multiplication of these matrices,

A.B =
`\begin{bmatrix}1 & 3\\ -2 & 5\end{bmatrix}* \begin{bmatrix}-2 & 1\\ 3 & 4\end{bmatrix}`

=
`\begin{bmatrix}(1(-2)+3(3) & 1(1)+3(4)\\ (-2)(-2)+5(3) & 1(-2)+5(4)\end{bmatrix}`

=
`\begin{bmatrix}7 & 13\\ 19 & 18\end{bmatrix}`

Therefore, Option (B) will be the answer.