If U = [2, – 3, 4], , X = [0, 2, 3] and , then UV + XY =

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

If U = [2, – 3, 4], $V = [\begin{array}{c} 3 \\ 2 \\ 1 \end{array}]$ , X = [0, 2, 3] and $Y = [\begin{array}{c} 2 \\ 2 \\ 4 \end{array}]$ , then UV + XY =

[ – 20]

– 20

[20]

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Given : U = [2, – 3, 4], $V = [\begin{array}{c} 3 \\ 2 \\ 1 \end{array}]$ , X = [0, 2, 3] and $Y = [\begin{array}{c} 2 \\ 2 \\ 4 \end{array}]$

the $UV = [2 - 3 4] [\begin{array}{l} 3 \\ 2 \\ 1 \end{array}] = [6 - 6 + 4] = [4]$

and $xy = [\begin{array}{l} 0 & 2 & 3 \end{array}] [\begin{array}{l} 2 \\ 2 \\ 4 \end{array}] ≅ [0 + 4 + 12] = [\begin{array}{l} 16 \end{array}]$

then UV + XY = [4] + [16] = [20]

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