Algebra Examples

$6 \cdot [\begin{array}{c} 4 & - 2 & 1 \\ 7 & 3 & 0 \end{array}]$

Step 1

Substitute in each matrix definition.

$6 \cdot [\begin{array}{c} 4 & - 2 & 1 \\ 7 & 3 & 0 \end{array}]$

Step 2

Multiply $6$ by each element of the matrix.

$[\begin{array}{c} 6 \cdot 4 & 6 \cdot - 2 & 6 \cdot 1 \\ 6 \cdot 7 & 6 \cdot 3 & 6 \cdot 0 \end{array}]$

Step 3

Simplify each element in the matrix.

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Rearrange $6 \cdot 4$ .

$[\begin{array}{c} 24 & 6 \cdot - 2 & 6 \cdot 1 \\ 6 \cdot 7 & 6 \cdot 3 & 6 \cdot 0 \end{array}]$

Rearrange $6 \cdot - 2$ .

$[\begin{array}{c} 24 & - 12 & 6 \cdot 1 \\ 6 \cdot 7 & 6 \cdot 3 & 6 \cdot 0 \end{array}]$

Rearrange $6 \cdot 1$ .

$[\begin{array}{c} 24 & - 12 & 6 \\ 6 \cdot 7 & 6 \cdot 3 & 6 \cdot 0 \end{array}]$

Rearrange $6 \cdot 7$ .

$[\begin{array}{c} 24 & - 12 & 6 \\ 42 & 6 \cdot 3 & 6 \cdot 0 \end{array}]$

Rearrange $6 \cdot 3$ .

$[\begin{array}{c} 24 & - 12 & 6 \\ 42 & 18 & 6 \cdot 0 \end{array}]$

Rearrange $6 \cdot 0$ .

$[\begin{array}{c} 24 & - 12 & 6 \\ 42 & 18 & 0 \end{array}]$