Linear Algebra Examples

$2 [\begin{array}{c} 4 \\ 3 \end{array}] [\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}]$

Step 1

Multiply $2$ by each element of the matrix.

$[\begin{array}{c} 2 \cdot 4 \\ 2 \cdot 3 \end{array}] [\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}]$

Step 2

Simplify each element in the matrix.

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Step 2.1

Multiply $2$ by $4$ .

$[\begin{array}{c} 8 \\ 2 \cdot 3 \end{array}] [\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}]$

Step 2.2

Multiply $2$ by $3$ .

$[\begin{array}{c} 8 \\ 6 \end{array}] [\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}]$