Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

The matrix $A =\begin{bmatrix}0&1&-3\\-1&0&0\\3&0&0\end{bmatrix}$ is a

Options:

Diagonal matrix

Symmetric matrix

Skew-symmetric matrix

Scalar matrix

Correct Answer:

Skew-symmetric matrix

Explanation:

$A =\begin{bmatrix}0&1&-3\\-1&0&0\\3&0&0\end{bmatrix}$

$A^T =\begin{bmatrix}0&-1&3\\1&0&0\\-3&0&0\end{bmatrix}$

$A=-A^T$

⇒ A is Skew-symmetric matrix