Find multiplication of following matrix :

Engineering

Mathematics

Algebra of Matrices

Multiplication of Matrices

Question

Find multiplication of following matrix : $[\begin{array}{cc} 6 & 4 \\ 3 & - 1 \end{array}] [\begin{array}{c} - 1 \\ 3 \end{array}]$

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$[\begin{array}{cc} 6 & 4 \\ 3 & - 1 \end{array}] [\begin{array}{c} - 1 \\ 3 \end{array}]$

= [6 × –1 + 4 × 3 (3 – 1) + (– 1 × 3)]

= [– 6 + 12 – 3 – 3]

= [6 – 6]