Matrices Practice Questions Ques18
Question: Which of the following is a diagonal matrix?
Options:
(A) $\begin{pmatrix} 1 & 1 \\ 0 & 2 \end{pmatrix}$
(B) $\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$
(C) $\begin{pmatrix} 0 & 1 \\ 0 & 0 \end{pmatrix}$
(D) $\begin{pmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 3 \end{pmatrix}$
Show Answer
Answer: D
Explanation:
(A) Incorrect. This matrix has non-zero elements off the diagonal.
(B) Incorrect. This matrix has non-zero elements off the diagonal.
(C) Incorrect. This matrix has non-zero elements off the diagonal.
(D) Correct. This matrix has non-zero elements only on the diagonal.