Simplify the Matrix [[a_11,a_12],[a_21,a_22]]+[[b_11,b_12],[b_21,b_22]]

$[\begin{array}{c} a_{11} & a_{12} \\ a_{21} & a_{22} \end{array}] + [\begin{array}{c} b_{11} & b_{12} \\ b_{21} & b_{22} \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} a_{11} + b_{11} & a_{12} + b_{12} \\ a_{21} + b_{21} & a_{22} + b_{22} \end{array}]$