Question

Let M$\times \left[\begin{array}{cc}1& 1\\ 0& 2\end{array}\right]=\left[\begin{array}{cc}1& 2\end{array}\right]$, where M is a matrix.

State the order of the matrix M.

• A. 1 × 2
• B. 2 × 1
• C. 2 × 2
• D. 1 × 3

Answer 1

The correct option is A

1 × 2

For matrix multiplication, the number of columns of the $1^{st}$ matrix should be equal to the number of rows of $2^{nd}$ matrix. So the number of columns of M = 2. Since the product of the matrix is 1 $\times$ 2, so the number of rows of M = 1.

Hence its order = 1 $\times$ 2