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.