$A=\left[\begin{array}{cc}3 & -2 \\ -1 & 4\end{array}\right], B=\left[\begin{array}{l}6 \\ 1\end{array}\right]$ and $C=\left[\begin{array}{c}-4 \\ 5\end{array}\right]$, Evaluate $\mathrm{AB}-5 \mathrm{C}$

Explanation

To evaluate AB - 5C, we need to first find the product AB and then subtract 5 times the matrix C from it. AB is calculated as the product of matrices A and B, and then 5C is calculated by multiplying matrix C by 5. Finally, we subtract 5C from AB to get the result.

$A=\left[\begin{array}{cc}3 & -2 \\ -1 & 4\end{array}\right], B=\left[\begin{array}{l}6 \\ 1\end{array}\right]$ and $C=\left[\begin{array}{c}-4 \\ 5\end{array}\right]$, Evaluate $\mathrm{AB}-5 \mathrm{C}$

Explanation

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