Linear Algebra Examples

A = [\begin{matrix} 9 & - 6 4 & 7 \end{matrix}]

$A = [\begin{array}{c} 9 & - 6 \\ 4 & 7 \end{array}]$

Step 1

The determinant of a

$2 \times 2$ matrix can be found using the formula

$| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$9 \cdot 7 - 4 \cdot - 6$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

$9$ by

$7$ .

$63 - 4 \cdot - 6$

Step 2.1.2

Multiply

$- 4$ by

$- 6$ .

$63 + 24$

Step 2.2

Add

$63$ and

$24$ .

$87$