If and I is unit matrix of order 2 × 2. Find : A2

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

If $A = [\begin{array}{cc} 0 & 2 \\ 5 & - 2 \end{array}], B = [\begin{array}{cc} 1 & - 1 \\ 3 & 2 \end{array}]$ and I is unit matrix of order 2 × 2. Find : A²

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$A^{2} = [\begin{array}{cc} 0 & 2 \\ 5 & - 2 \end{array}] [\begin{array}{cc} 0 & 2 \\ 5 & - 2 \end{array}]$
$= [\begin{array}{cc} 0 + 10 & 0 - 4 \\ 0 - 10 & 10 + 4 \end{array}]$

$= [\begin{array}{cc} 10 & - 4 \\ - 10 & 14 \end{array}]$

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