Linear Algebra Examples

$10 [\begin{array}{c} 3 & 0 \\ 3 & 2 \end{array}]$

Step 1

Multiply $10$ by each element of the matrix.

$[\begin{array}{c} 10 \cdot 3 & 10 \cdot 0 \\ 10 \cdot 3 & 10 \cdot 2 \end{array}]$

Step 2

Simplify each element in the matrix.

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Step 2.1

Multiply $10$ by $3$ .

$[\begin{array}{c} 30 & 10 \cdot 0 \\ 10 \cdot 3 & 10 \cdot 2 \end{array}]$

Step 2.2

Multiply $10$ by $0$ .

$[\begin{array}{c} 30 & 0 \\ 10 \cdot 3 & 10 \cdot 2 \end{array}]$

Step 2.3

Multiply $10$ by $3$ .

$[\begin{array}{c} 30 & 0 \\ 30 & 10 \cdot 2 \end{array}]$

Step 2.4

Multiply $10$ by $2$ .

$[\begin{array}{c} 30 & 0 \\ 30 & 20 \end{array}]$

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