Let .Find the following :AB

Engineering

Mathematics

Algebra of Matrices

Multiplication of Matrices

Question

Let $A = [\begin{array}{cc} 2 & 4 \\ 3 & 2 \end{array}], B = [\begin{array}{cc} 1 & 3 \\ - 2 & 5 \end{array}], C = [\begin{array}{cc} - 2 & 5 \\ 3 & 4 \end{array}]$ .
Find the following :
AB

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

$\Rightarrow [\begin{array}{cc} 2 \times 1 + 4 \times (- 2) & 2 \times 3 + 4 \times 5 \\ 3 \times 1 + 2 \times (- 2) & 3 \times 3 + 2 \times 5 \end{array}]$

${[\begin{array}{cc} - 6 & 26 \\ - 1 & 19 \end{array}]}_{2 \times 2}$