Linear Algebra Examples

$3 a + 4 a \cdot [\begin{array}{c} 2 & 2 \\ 3 & - 3 \end{array}]$

Step 1

Multiply $4 a$ by each element of the matrix.

$3 a + [\begin{array}{c} 4 a \cdot 2 & 4 a \cdot 2 \\ 4 a \cdot 3 & 4 a \cdot - 3 \end{array}]$

Step 2

Simplify each element in the matrix.

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Step 2.1

Multiply $2$ by $4$ .

$3 a + [\begin{array}{c} 8 a & 4 a \cdot 2 \\ 4 a \cdot 3 & 4 a \cdot - 3 \end{array}]$

Step 2.2

Multiply $2$ by $4$ .

$3 a + [\begin{array}{c} 8 a & 8 a \\ 4 a \cdot 3 & 4 a \cdot - 3 \end{array}]$

Step 2.3

Multiply $3$ by $4$ .

$3 a + [\begin{array}{c} 8 a & 8 a \\ 12 a & 4 a \cdot - 3 \end{array}]$

Step 2.4

Multiply $- 3$ by $4$ .

$3 a + [\begin{array}{c} 8 a & 8 a \\ 12 a & - 12 a \end{array}]$