For what values of "m" and "p" is the given matrix skew symmetric ?
[ 0 5 -3]
[-5 m 4]
[p -4 0]

Question

For what values of "m" and "p" is the given matrix skew symmetric
?
[ 0 5 -3]
[-5 m 4]
[p -4 0]

Ashwini Kumar · Accepted Answer

Let A=05-3-5m4p-40We know that diagonal elements of skew symmetry matrix are zero
∴m=0We have,AT=0-5p5m-4-340Also we know that transpose of the skew symmetry matrix is its negative
Now,AT=-A⇒0-5p5m-4-340=-05-3-5m4p-40⇒0-5p5m-4-340=0-535-m-4-p40Comparing both sides, we getp=3Hence, m=o and p=3

For what values of "m" and "p" is the given matrix skew symmetric ? [ 0 5 -3] [-5 m 4] [p -4 0]

For what values of "m" and "p" is the given matrix skew symmetric ?
[ 0 5 -3]
[-5 m 4]
[p -4 0]