If and I is unit matrix of order 2 × 2. Find : B2

Engineering

Mathematics

Algebra of Matrices

Multiplication of 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 : B²

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$B^{2} = [\begin{array}{cc} 1 & - 1 \\ 3 & 2 \end{array}] [\begin{array}{cc} 1 & - 1 \\ 3 & 2 \end{array}]$

= [\begin{array}{cc} 1 - 3 & - 1 - 2 \\ 3 + 6 & - 3 + 4 \end{array}]

= [\begin{array}{cc} - 2 & - 3 \\ 9 & 1 \end{array}]