Find the Determinant [[1,0],[0,1]]

$[\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}]$

Step 1

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

$1 \cdot 1 + 0 \cdot 0$

Step 2

Simplify the determinant.

Simplify each term.

Multiply $1$ by $1$ .

$1 + 0 \cdot 0$

Multiply $0$ by $0$ .

$1 + 0$

Add $1$ and $0$ .

$1$