Simplify the Matrix [[8,-1],[0,3]]-[[-5,2],[-9,-4]]

$[\begin{array}{c} 8 & - 1 \\ 0 & 3 \end{array}] - [\begin{array}{c} - 5 & 2 \\ - 9 & - 4 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 8 + 5 & - 1 - 2 \\ 0 + 9 & 3 + 4 \end{array}]$

Step 2

Simplify each element.

Add $8$ and $5$ .

$[\begin{array}{c} 13 & - 1 - 2 \\ 0 + 9 & 3 + 4 \end{array}]$

Subtract $2$ from $- 1$ .

$[\begin{array}{c} 13 & - 3 \\ 0 + 9 & 3 + 4 \end{array}]$

Add $0$ and $9$ .

$[\begin{array}{c} 13 & - 3 \\ 9 & 3 + 4 \end{array}]$

Add $3$ and $4$ .

$[\begin{array}{c} 13 & - 3 \\ 9 & 7 \end{array}]$