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.