Question

Given the matrices, \(A\) and \(B\) as \[ A=\begin{bmatrix}1&2\\-2&4\end{bmatrix},\quad B=\begin{bmatrix}3&-2\\5&0\end{bmatrix} \] What will be \(AB\)?

• A. \(\begin{bmatrix}13&-214&4\end{bmatrix}\)
• B. \(\begin{bmatrix}13&214&4\end{bmatrix}\)
• C. \(\begin{bmatrix}-13&214&-4\end{bmatrix}\)
• D. \(\begin{bmatrix}13&2-14&4\end{bmatrix}\)

Hint:

In matrix multiplication, multiply row elements of the first matrix with column elements of the second matrix and then add the products.

Answer 1

The Correct Option is A