Multiply the given matrices:

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

Multiply the given matrices:

[\begin{array}{cc} 1 & - 2 \\ 2 & 3 \end{array}] [\begin{array}{ccc} 1 & 2 & 3 \\ - 3 & 2 & - 1 \end{array}]

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[\begin{array}{cc} 1 & - 2 \\ 2 & 3 \end{array}] [\begin{array}{ccc} 1 & 2 & 3 \\ - 3 & 2 & - 1 \end{array}]

\Rightarrow [\begin{array}{ccc} (1) (1) + (- 2) (- 3) & (1) (2) + (- 2) (2) & (1) (3) + (- 2) (- 1) \\ (2) (1) + (3) (- 3) & (2) (2) + (3) (2) & (2) (3) + (3) (- 1) \end{array}]

\Rightarrow [\begin{array}{ccc} 1 + 6 & 2 - 4 & 3 + 2 \\ 2 - 9 & 4 + 6 & 6 - 3 \end{array}]

\Rightarrow [\begin{array}{ccc} 7 & - 2 & 5 \\ - 7 & 10 & 3 \end{array}]

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