If find the value of k.

Engineering

Mathematics

Multiplication of Matrices

Question

If $[\begin{array}{cc} 1 & 2 \\ 3 & 4 \end{array}] [\begin{array}{cc} 3 & 1 \\ 2 & 5 \end{array}] = [\begin{array}{cc} 7 & 11 \\ K & 23 \end{array}]$ find the value of k.

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[\begin{array}{cc} 1 & 2 \\ 3 & 4 \end{array}] [\begin{array}{cc} 3 & 1 \\ 2 & 5 \end{array}] = [\begin{array}{cc} 7 & 11 \\ k & 23 \end{array}]

[\begin{array}{cc} 3 + 4 & 1 + 10 \\ 9 + 8 & 3 + 20 \end{array}] = [\begin{array}{cc} 7 & 11 \\ k & 23 \end{array}]

[\begin{array}{cc} 7 & 11 \\ 17 & 23 \end{array}] = [\begin{array}{cc} 7 & 11 \\ k & 23 \end{array}]

∴ k = 17