Let M = [1 – 2] and N = Find MN.

Engineering

Mathematics

Algebra of Matrices

Multiplication of Matrices

Question

Let M = [1 – 2] and N = $[\begin{array}{cc} 2 & 1 \\ - 1 & 2 \end{array}] .$
Find MN.

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MN = {[1 - 2]}_{1 \times 2} {[\begin{array}{cc} 2 & 1 \\ - 1 & 2 \end{array}]}_{2 \times 2}

MN = [1 × 2 – 2 × – 1 1 × 1 – 2 × 2]_1×2

MN = [2 + 2 1 – 4]_1×2

MN = [4 – 3]_1×2