Linear Algebra Examples

$[\begin{array}{c} 13 & 0 \\ 0 & 5 \end{array}]$

Step 1

The determinant of a $2 \times 2$ matrix can be found using the formula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$13 \cdot 5 + 0 \cdot 0$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $13$ by $5$ .

$65 + 0 \cdot 0$

Step 2.1.2

Multiply $0$ by $0$ .

$65 + 0$

Step 2.2

Add $65$ and $0$ .

$65$