Linear Algebra Examples

$3 [\begin{array}{c} 1 & 3 \\ 4 & 2 \end{array}] - [\begin{array}{c} 3 & 3 \\ 4 & 4 \end{array}]$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Multiply $3$ by each element of the matrix.

$[\begin{array}{c} 3 \cdot 1 & 3 \cdot 3 \\ 3 \cdot 4 & 3 \cdot 2 \end{array}] - [\begin{array}{c} 3 & 3 \\ 4 & 4 \end{array}]$

Step 1.2

Simplify each element in the matrix.

Tap for more steps...

Step 1.2.1

Multiply $3$ by $1$ .

$[\begin{array}{c} 3 & 3 \cdot 3 \\ 3 \cdot 4 & 3 \cdot 2 \end{array}] - [\begin{array}{c} 3 & 3 \\ 4 & 4 \end{array}]$

Step 1.2.2

Multiply $3$ by $3$ .

$[\begin{array}{c} 3 & 9 \\ 3 \cdot 4 & 3 \cdot 2 \end{array}] - [\begin{array}{c} 3 & 3 \\ 4 & 4 \end{array}]$

Step 1.2.3

Multiply $3$ by $4$ .

$[\begin{array}{c} 3 & 9 \\ 12 & 3 \cdot 2 \end{array}] - [\begin{array}{c} 3 & 3 \\ 4 & 4 \end{array}]$

Step 1.2.4

Multiply $3$ by $2$ .

$[\begin{array}{c} 3 & 9 \\ 12 & 6 \end{array}] - [\begin{array}{c} 3 & 3 \\ 4 & 4 \end{array}]$

Step 2

Subtract the corresponding elements.

$[\begin{array}{c} 3 - 3 & 9 - 3 \\ 12 - 4 & 6 - 4 \end{array}]$

Step 3

Simplify each element.

Tap for more steps...

Step 3.1

Subtract $3$ from $3$ .

$[\begin{array}{c} 0 & 9 - 3 \\ 12 - 4 & 6 - 4 \end{array}]$

Step 3.2

Subtract $3$ from $9$ .

$[\begin{array}{c} 0 & 6 \\ 12 - 4 & 6 - 4 \end{array}]$

Step 3.3

Subtract $4$ from $12$ .

$[\begin{array}{c} 0 & 6 \\ 8 & 6 - 4 \end{array}]$

Step 3.4

Subtract $4$ from $6$ .

$[\begin{array}{c} 0 & 6 \\ 8 & 2 \end{array}]$