Multiply the given matrix:

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

Multiply the given matrix:

[\begin{array}{ccc} 2 & 3 & 4 \\ 3 & 4 & 5 \\ 4 & 5 & 6 \end{array}] [\begin{array}{ccc} 1 & - 3 & 5 \\ 0 & 2 & 4 \\ 3 & 0 & 5 \end{array}]

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$[\begin{array}{ccc} 2 & 3 & 4 \\ 3 & 4 & 5 \\ 4 & 5 & 6 \end{array}] [\begin{array}{ccc} 1 & - 3 & 5 \\ 0 & 2 & 4 \\ 3 & 0 & 5 \end{array}]$

\Rightarrow [\begin{array}{ccc} (2) (1) + (3) (0) + (4) (3) & (2) (- 3) + (3) (2) + (4) (0) & (2) (5) + (3) (4) + (4) (5) \\ (3) (1) + (4) (0) + (5) (3) & (3) (- 3) + (4) (2) + (5) (0) & (3) (5) + (4) (4) + (5) (5) \\ (4) (1) + (5) (0) + (6) (3) & (4) (- 3) + (5) (2) + (6) (0) & (4) (5) + (5) (4) + (6) (5) \end{array}]

\Rightarrow [\begin{array}{ccc} 2 + 0 + 12 & - 6 + 6 + 0 & 10 + 12 + 20 \\ 3 + 0 + 15 & - 9 + 8 + 0 & 15 + 16 + 25 \\ 4 + 0 + 18 & - 12 + 10 + 0 & 20 + 20 + 30 \end{array}]

\Rightarrow [\begin{array}{ccc} 14 & 0 & 42 \\ 18 & - 1 & 56 \\ 22 & - 2 & 70 \end{array}]

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