# Show that the matrix A = [(0,a,b)(-a,0,c)(-b,-c,0)] is skew-symmetric.

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Show that the matrix A = $\begin{bmatrix} 0 &a & b \\[0.3em] -a & 0 & c\\[0.3em] -b & -c& 0 \end{bmatrix}$is skew-symmetric.

A = [(0,a,b)(-a,0,c)(-b,-c,0)]

HINT: Show that A’ = -A.

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Given A = $\begin{bmatrix} 0 &a & b \\[0.3em] -a & 0 & c\\[0.3em] -b & -c& 0 \end{bmatrix}$

To Prove: A is a skew symmetric matrix.

Proof: As for a matrix to be skew symmetric A’ = -A

We will find A’.

$\Rightarrow$ A' = -A

So A is A skew symmetric matrix.