Answer to Question #340870 in Linear Algebra for Dusty

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=\\begin{pmatrix}\n 0 & x & 3\\\\\n 2 & y & -1 \\\\\n z & 1 & 0 \\\\\n\\end{pmatrix}"

Given matrix is skew symmetric matrix:


"A'=-A"

"\\begin{pmatrix}\n 0 & 2 & z\\\\\n x & y & 1 \\\\\n 3 & -1 & 0 \\\\\n\\end{pmatrix}=\\begin{pmatrix}\n 0 & -x & -3\\\\\n -2 & -y & 1 \\\\\n -z & -1 & 0 \\\\\n\\end{pmatrix}"

On comparing we get:


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


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