Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If A is a skew-symmetric matrix of order n × n and $a_{ij}$ is the $(i, j)^{th}$ elements, then :

Options:

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

$a_{ij}=0 $ when $i=j $

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

$a_{ij}≠0$ when $i=j $ only

Correct Answer:

$a_{ij}=0 $ when $i=j $

Explanation:

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

In skew-symmetric matrix

$a_{ij}=-a_{ji}⇒a_{ij}+a_{ji}=0$

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