Consider the matrices
A = 3 0 2 , B = -5 1 1 , C = 1 1 1
4 -6 3 0 3 0 2 3 -1
-2 1 8 7 6 2 3 -5 -7
Verify the following expressions (where possible and give reasons)
(i) A + (B + C) = (A + B) + C and A(BC) = (AB)C.
(ii) (a − b)C = aC + bC and a(B − C) = aB − aC, where a = −2, b = 3 .
(iii) (AT)T = A and (A − B)T = A T− BT
(i)
(ii)
(iii)
Comments