Question #340870

find the values for x, y, and z such the matrix below is skew symmetric.

0 x 3

2 y -1

z 1 0


1
Expert's answer
2022-05-17T09:29:07-0400
A=(0x32y1z10)A=\begin{pmatrix} 0 & x & 3\\ 2 & y & -1 \\ z & 1 & 0 \\ \end{pmatrix}

Given matrix is skew symmetric matrix:


A=AA'=-A

(02zxy1310)=(0x32y1z10)\begin{pmatrix} 0 & 2 & z\\ x & y & 1 \\ 3 & -1 & 0 \\ \end{pmatrix}=\begin{pmatrix} 0 & -x & -3\\ -2 & -y & 1 \\ -z & -1 & 0 \\ \end{pmatrix}

On comparing we get:


x=2,y=0,z=3x=-2, y=0, z=-3


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