Linear Algebra Examples

$[\begin{array}{c} - 2 & 1 \\ 4 & 8 \\ - 1 & 0 \end{array}] + [\begin{array}{c} 7 & - 5 \\ - 2 & 8 \\ - 8 & 8 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} - 2 + 7 & 1 - 5 \\ 4 - 2 & 8 + 8 \\ - 1 - 8 & 0 + 8 \end{array}]$

Step 2

Simplify each element.

Tap for more steps...

Step 2.1

Add $- 2$ and $7$ .

$[\begin{array}{c} 5 & 1 - 5 \\ 4 - 2 & 8 + 8 \\ - 1 - 8 & 0 + 8 \end{array}]$

Step 2.2

Subtract $5$ from $1$ .

$[\begin{array}{c} 5 & - 4 \\ 4 - 2 & 8 + 8 \\ - 1 - 8 & 0 + 8 \end{array}]$

Step 2.3

Subtract $2$ from $4$ .

$[\begin{array}{c} 5 & - 4 \\ 2 & 8 + 8 \\ - 1 - 8 & 0 + 8 \end{array}]$

Step 2.4

Add $8$ and $8$ .

$[\begin{array}{c} 5 & - 4 \\ 2 & 16 \\ - 1 - 8 & 0 + 8 \end{array}]$

Step 2.5

Subtract $8$ from $- 1$ .

$[\begin{array}{c} 5 & - 4 \\ 2 & 16 \\ - 9 & 0 + 8 \end{array}]$

Step 2.6

Add $0$ and $8$ .

$[\begin{array}{c} 5 & - 4 \\ 2 & 16 \\ - 9 & 8 \end{array}]$