skew matrix

Algebra Level 2

For a $5 \times5$ skew-symmetric matrix ,the value of its determinant would be.

-1 inadequate data 0 1

2 solutions

Sarvesh Dubey
Jun 10, 2016

As skew symmetric has its diagonal elements all zero and for Aij=-Aji and this by sarrus rule the matrix has determinant zero

Can you tell what the Sarrus rule is?

Akshat Sharda - 4 years ago

Akshat Sharda
May 31, 2017

Let $A$ be the given matrix,

$A'=-A \\ |A'|=|-A|=(-1)^{5}|A| \Rightarrow |A|=0$

$A'$ denotes the transpose of matrix $A$ .