Question

If \[ A= \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}, \qquad B= \begin{bmatrix} 2 & 0 \\ 1 & 5 \end{bmatrix} \] then \(AB\) is equal to:

• A. \[ \begin{bmatrix} 4 & 10 \\ 10 & 20 \end{bmatrix} \]
• B. \[ \begin{bmatrix} 4 & 10 \\ 10 & 15 \end{bmatrix} \]
• C. \[ \begin{bmatrix} 4 & 10 \\ 10 & 20 \end{bmatrix} \]
• D. \[ \begin{bmatrix} 4 & 10 \\ 10 & 15 \end{bmatrix} \]

Hint:

For matrix multiplication: \[ (\text{Row})\times(\text{Column}) \] Multiply corresponding entries and add the products carefully.

Answer 1

The Correct Option is A