Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

For any square matrix $A;(A-A')$ is :

Options:

Symmetric matrix

Null matrix

Identity matrix

Skew-symmetric matrix

Correct Answer:

Skew-symmetric matrix

Explanation:

$A' \text{ denotes transpose of } A.$

$A-A' = -(A'-A).$

$(A-A')' = A'-A = -(A-A').$

$\text{ therefore } A-A' \text{ is skew-symmetric.}$

$\text{Correct option: Skew-symmetric matrix}.$