Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If A is a skew-symmetric matrix of order n , then

Options:

$a_{ij}=\frac{1}{a_{ij}}$, for all values of i and j.

$a_{ij}=0, $ where i= j

$a_{ij}≠0, $ for all values of i and j

$a_{ij}≠0$ where i = j only

Correct Answer:

$a_{ij}=0, $ where i= j

Explanation:

The correct answer is Option (2) → $a_{ij}=0, $ where i= j

as $a_{ij}=-a_{ji}$ for skew symmetric matrices.

for $i=j$ (diagonal elements)

$a_{ij}+a_{ji}=0$

$a_{ij}+a_{ij}=0⇒a_{ij}=0$ (where $i = j$)