Practice Problems:

Matrix Algebra

1) Consider the following matrices where the subscript denotes the order of the matrix:

State whether or not the following operations are valid or invalid and if so why:

a.) A B
b.) D(B + E)
c.) B D + C
d.) C(E B)
e.) B D - A
f.) A(D E)

2) Solve the following matrices using these operations, 5A, A - B, A B, B A:

a.)

b.)
c.)