Simplify the Matrix [[-4n,n+m],[-2n,-4n]]+[[4,-5],[3m,0]]

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

Rearrange $n + m$ .

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

Add the corresponding elements.

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

Simplify $- 4 n + 0$ .

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