Question

If matrix = 0 3 1 -3 0 -4 p 4 0  is skew symmetric then value of p is _______  a) -3     b) -4      c) -1       d) 0​

Answer 1

Answer:

may be the value of p is -1

Answer 2

Given :    $A=\left[\begin{array}{ccc}0&3&1\\-3&0&-4\\p&4&0\end{array}\right]$

A is skew symmetric matrix

To Find : Value of p  

Solution:

A is a skew symmetric matrix

if   $A=-A^T$

$A^T$ is transpose matrix

$A=\left[\begin{array}{ccc}0&3&1\\-3&0&-4\\p&4&0\end{array}\right]$

$A^T=\left[\begin{array}{ccc}0&-3&p\\3&0&4\\1&-4&0\end{array}\right]$

$-A^T=\left[\begin{array}{ccc}0& 3&-p\\-3&0&-4\\-1&4&0\end{array}\right]$

$A=-A^T$

$\left[\begin{array}{ccc}0&3&1\\-3&0&-4\\p&4&0\end{array}\right]=\left[\begin{array}{ccc}0& 3&-p\\-3&0&-4\\-1&4&0\end{array}\right]$

1 = - p   or p = - 1

Hence value of p is - 1

Learn More:

if the element of a 2 × 3 matrix is given by aij 1/2(3i -4j) find the value ...

brainly.in/question/30959920

If a=matrix 2,3,5,-2 write a inverse in terms of a - Brainly.in

brainly.in/question/3109606

Find the inverse of the following matrix by using row elementary ...

brainly.in/question/18338344