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Question

If $A equals open square brackets table row 3 1 row cell negative 1 end cell 2 end table close square brackets$ , then $A to the power of 2 end exponent equals$

$[\begin{matrix} 8 & - 5 \\ - 5 & 3 \end{matrix}]$
$[\begin{matrix} 8 & - 5 \\ 5 & 3 \end{matrix}]$
$[\begin{matrix} 8 & - 5 \\ - 5 & - 3 \end{matrix}]$
$[\begin{matrix} 8 & 5 \\ - 5 & 3 \end{matrix}]$

The correct answer is: $open square brackets table row 8 5 row cell negative 5 end cell 3 end table close square brackets$

$A equals open square brackets table row 3 1 row cell negative 1 end cell 2 end table close square brackets$
$A to the power of 2 end exponent equals A. A equals open square brackets table row 3 1 row cell negative 1 end cell 2 end table close square brackets open square brackets table row 3 1 row cell negative 1 end cell 2 end table close square brackets$
$A to the power of 2 end exponent equals open square brackets table row 8 5 row cell negative 5 end cell 3 end table close square brackets$ .

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