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

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 : AB

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$AB = [\begin{array}{cc} 0 & 2 \\ 5 & - 2 \end{array}] [\begin{array}{cc} 1 & - 1 \\ 3 & 2 \end{array}]$
$= [\begin{array}{cc} 0 + 6 & 0 + 4 \\ 5 - 6 & - 5 - 4 \end{array}]$

$= [\begin{array}{cc} 6 & 4 \\ - 1 & - 9 \end{array}]$