Precalculus Examples

$2$

The identity matrix or unit matrix of size $2$ is the $2 x \cdot 2$ square matrix with ones on the main diagonal and zeros elsewhere. In this case, the identity matrix is $[\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}]$ .

$2 [\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}]$

Multiply $2$ by each element of the matrix.

$[\begin{array}{c} 2 \cdot 1 & 2 \cdot 0 \\ 2 \cdot 0 & 2 \cdot 1 \end{array}]$

Simplify each element of the matrix $[\begin{array}{c} 2 \cdot 1 & 2 \cdot 0 \\ 2 \cdot 0 & 2 \cdot 1 \end{array}]$ .

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Simplify element $0, 0$ by multiplying $2 \cdot 1$ .

$[\begin{array}{c} 2 & 2 \cdot 0 \\ 2 \cdot 0 & 2 \cdot 1 \end{array}]$

Simplify element $0, 1$ by multiplying $2 \cdot 0$ .

$[\begin{array}{c} 2 & 0 \\ 2 \cdot 0 & 2 \cdot 1 \end{array}]$

Simplify element $1, 0$ by multiplying $2 \cdot 0$ .

$[\begin{array}{c} 2 & 0 \\ 0 & 2 \cdot 1 \end{array}]$

Simplify element $1, 1$ by multiplying $2 \cdot 1$ .

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

Combine the similar matrices with each others.

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

$[\begin{array}{c} 2 & 0 \\ 0 & 2 \end{array}]$ is in the most simplified form.

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

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