Advertisements
Advertisements
Question
If A = `[(1, -2),(2, -1)], B = [(3, 2),(-2, 1)], C = [(4, 5),(5, 4)]`, compute (B + C)A.
Sum
Advertisements
Solution
B + C = `[(3 + 4, 2 + 5),(-2 + 5, 1 + 4)]`
= `[(7, 7),(3, 5)]`
B + C = `[(7, 7),(3, 5)]`
A = `[(1, -2),(2, -1)]`
(B + C)A = `[(7, 7),(3, 5)] xx [(1, -2),(2, -1)]`
= `[(7 xx 1 + 7 xx 2, 7 xx (-2) + 7 xx (-1)),(3 xx 1 + 5 xx 2, 3 xx (-2) + 5 xx (-1))]`
= `[(7 + 14, -14 - 7),(3 + 10, -6 -5)]`
= `[(21, -21),(13, -11)]`
shaalaa.com
Is there an error in this question or solution?
