1. ## matrix

for matrix eqn:

AX + (B^T) X = C(D^T)

Simplify.

Ans is (A+[B^T]) X = C(D^T) ?

2. Originally Posted by MilK
for matrix eqn:

AX + (B^T) X = C(D^T)

Simplify.

Ans is (A+[B^T]) X = C(D^T) ?
You should know that matrix multiplication is distributive over matrix addition:

A(B + C) = AB + AC and (A + B)C = AC + BC.

In other words: AC + BC = (A + B)C.