Compute the indicated products

Engineering

Mathematics

Multiplication of Matrices

Question

Compute the indicated products
$[\begin{array}{ccc} 3 & - 1 & 3 \\ - 1 & 0 & 2 \end{array}] [\begin{array}{cc} 2 & - 3 \\ 1 & 0 \\ 3 & 1 \end{array}]$

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{[\begin{array}{cc} 3 \times 2 + (- 1) \times 1 + 3 \times 3 & 3 \times (- 3) + (- 1) \times 0 + 3 \times 1 \\ (- 1) \times 2 + 0 \times 1 + 2 \times 3 & (- 1) \times (- 3) + 0 \times 0 + 2 \times 1 \end{array}]}_{2 \times 2}

${[\begin{array}{cc} 14 & - 6 \\ 4 & 5 \end{array}]}_{2 \times 2}$