Question 3.4.1: if A = [3 4 5 6], B = [3 4 5 7], and C = [3 4 7 5 6 8],

if

 \textbf{A} = \begin{bmatrix} 3 & 4 \\ 5 & 6 \end{bmatrix}       ,         \text{B} = \begin{bmatrix} 3 & 4 \\ 5 & 7 \end{bmatrix} ,       and     \textbf{C} =\left [ \begin{matrix} 3 & 4 & 7 \\ 5 & 6 & 8 \end{matrix} \right ] ,

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then AB because a_{22} = 6, whereas b_{22} = 7, and AC because the matrices A and C are not of the same size.

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