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

Answer:

Option (B)

Step-by-step 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 = $\begin{bmatrix}1 & 3\\ -2 & 5\end{bmatrix}\times \begin{bmatrix}-2 & 1\\ 3 & 4\end{bmatrix}$

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

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

Therefore, Option (B) will be the answer.