Question

If A = `[(1,2),(3,4)], B = [(2,1),(4,2)] and C = [(−5,1),(7,−4)]` Find:

1. A + C
2. B(A+C)
3. 5B
4. B(A+C) – 5B

Answer 1

A = `[(1,2),(3,4)], B = [(2,1),(4,2)], C = [(−5,1),(7,−4)]`

(a) A + C = `[(1,2),(3,4)] + [(−5,1),(7,−4)] = [(−4,3),(10, 0)]`

(b) B(A + C) = `[(2,1),(4,2)] [(−4,3),(10,0)] = [(2,6),(4,12)]`

(c) 5B = 5 `[(2,1),(4,2)] = [(10,5),(20,10)]`

(d) B(A + C) − 5B = `[(2,6),(4,12)] [(10,5),(20,10)] = [(−8,1),(−16,2)]`