Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

$A=\begin{bmatrix}0&α&β\\-α&0&γ\\-β&-γ&0\end{bmatrix}$ is a

(A) square matrix
(B) diagonal matrix
(C) symmetric matrix
(D) skew-symmetric matrix

Choose the correct answer from the options given below:

Options:

(A) and (D) only

(A) and (C) only

(A), (B) and (D) only

(A), (B) and (C) only

Correct Answer:

(A) and (D) only

Explanation:

The correct answer is Option (1) → (A) and (D) only

$A=\begin{bmatrix}0&α&β\\-α&0&γ\\-β&-γ&0\end{bmatrix}_{3×3}$

A is square matrix as $m=n=3$

A  is skew-symmetric as

$A^T=-A$