Let and Compute 2A – 3B + 4C.

Let and Find each of the following :

i. 2A – 3B

ii. B – 4C

iii. 3A – C

iv. 3A – 2B + 3C

If find

i. A + B and B + C

ii. 2B + 3A and 3C – 4B.

If A = diag (2, -5, 9), B = diag (1, 1, -4) and C = diag (-6, 3, 4), find

i. A – 2B

ii. B + C – 2A

iii. 2A + 3B – 5C

Given the matrices

and

Verify that (A + B) + C = A + (B + C).