Let Find the following :BA

Engineering

Mathematics

Algebra of Matrices

Multiplication of Matrices

Question

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

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

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

$= {[\begin{array}{cc} 11 & 10 \\ 11 & 2 \end{array}]}_{2 \times 2}$