Determine the matrix A When $A = 4 [\begin{array}{c} \begin{matrix} 1 & 2 & 3 \\ - 1 & - 2 & - 3 \\ 4 & 2 & 6 \end{matrix} \end{array}] + 2 [\begin{array}{rrrrr} 5 & 4 & 1 \\ 3 & 2 & 4 \\ 3 & 8 & 2 \end{array}]$

Easy

A

$[\begin{array}{ccc} 14 & 16 & 14 \\ 2 & - 4 & - 4 \\ 22 & 24 & 28 \end{array}]$
B

$[\begin{array}{ccc} 14 & 8 & 14 \\ 2 & - 4 & - 4 \\ 22 & 24 & 28 \end{array}]$
C

$[\begin{array}{ccc} 14 & 16 & 14 \\ 2 & 0 & - 4 \\ 22 & 24 & 28 \end{array}]$
D

$[\begin{array}{ccc} 14 & 16 & 14 \\ 2 & - 4 & - 4 \\ 2 & 24 & 28 \end{array}]$

Solution

$\begin{array}{l} A = [\begin{array}{rrr} 4 & 8 & 12 \\ - 4 & - 8 & - 12 \\ 16 & 8 & 24 \end{array}] + [\begin{array}{ccc} 10 & 8 & 2 \\ 6 & 4 & 8 \\ 6 & 16 & 4 \end{array}] \\ = [\begin{array}{ccc} 4 + 10 & 8 + 8 & 12 + 2 \\ - 4 + 6 & - 8 + 4 & - 12 + 8 \\ 16 + 6 & 8 + 16 & 24 + 4 \end{array}] = [\begin{array}{ccc} 14 & 16 & 14 \\ 2 & - 4 & - 4 \\ 22 & 24 & 28 \end{array}] \end{array}$

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