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

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

Step 1

Subtract the corresponding elements.

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

Step 2

Simplify each element.

Subtract $2$ from $1$ .

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

Subtract $3$ from $0$ .

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

Subtract $5$ from $2$ .

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

Subtract $3$ from $0$ .

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

Add $1$ and $1$ .

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

Subtract $4$ from $3$ .

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