Linear Algebra Examples

$2$

Step 1

The identity matrix or unit matrix of size $2$ is the $2 \times 2$ square matrix with ones on the main diagonal and zeros elsewhere.

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

Step 2

Multiply the scalar $2$ by the identity matrix.

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

Step 3

Simplify.

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Step 3.1

Multiply $2$ by each element of the matrix.

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

Step 3.2

Simplify each element in the matrix.

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Step 3.2.1

Multiply $2$ by $1$ .

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

Step 3.2.2

Multiply $2$ by $0$ .

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

Step 3.2.3

Multiply $2$ by $0$ .

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

Step 3.2.4

Multiply $2$ by $1$ .

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

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