Let and a = 4, b = –2. Show that: (A – B) T = A T – B T

Question

Philoid · Accepted Answer

To Prove: (A – B)^T = A^T - B^T

LHS = (A – B)^T =

RHS = A^T – B^T =

∴ RHS =

Clearly, LHS = RHS =

Hence (A-B)^T = A^T – B^T …proved