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Introduction to Matrix

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Question 1 of 5

If $A=\left[\begin{array}{ccc} 0 & -3 & -8 \\ 3 & 0 & 10 \\ 8 & -10 & 0 \end{array}\right]$ is a skew-symmetric matrix, then find $\mathrm{A}^{2}$ and state whether $\mathrm{A}^{2}$ is a symmetric or a skew-symmetric matrix.

$\mathrm{A}^{2}$ = $\left[\begin{array}{ccc} 0 & -80 & -30 \\ 80 & 0 & 24 \\ 30 & -24 & 0 \end{array}\right]$ ; skew-symmetric matrix

$\mathrm{A}^{2}$ = $\left[\begin{array}{ccc} -78 & 80 & -30 \\ 80 & -109 & -24 \\ -30 & -24 & -164 \end{array}\right]$ ;skew-symmetric matrix

$\mathrm{A}^{2}$ = $\left[\begin{array}{ccc} 78 & 80 & -30 \\ 80 & 109 & 24 \\ 30 & -24 & -164 \end{array}\right]$ ; symmetric matrix

$\mathrm{A}^{2}$ = $\left[\begin{array}{ccc} -73 & 80 & -30 \\ 80 & -109 & -24 \\ -30 & -24 & -164 \end{array}\right]$ ; symmetric matrix

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Introduction to Matrix

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Question 1 of 5

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