Matrices Practice Questions Ques19

Question: Which of the following is a scalar matrix?

Options:

(A) $\begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}$

(B) $\begin{pmatrix} 1 & 0 \\ 0 & 3 \end{pmatrix}$

(C) $\begin{pmatrix} 0 & 2 \\ 2 & 0 \end{pmatrix}$

(D) $\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$

Show Answer

Answer: A

Explanation:

(A) Correct. This matrix has equal non-zero elements on the diagonal.

(B) Incorrect. This matrix has different non-zero elements on the diagonal.

(C) Incorrect. This is not a scalar matrix.

(D) Incorrect. This matrix has non-zero elements off the diagonal.