Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

A matrix which is symmetric as well as skew symmetric is :

Options:

Row matrix

Column matrix

Square matrix

Square null matrix

Correct Answer:

Square null matrix

Explanation:

The correct answer is Option (4) → Square null matrix

from statement for some matrix

A, $A^T=-A$ as well as $A^T=A$

so $2A^T=A-A⇒A^T=0$

$⇒A=0$ null square matrix