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Question

(i) Find a matrix X such that 2A + B + X = O, where
A = -12 34, B = 3-21 5
(ii) If A = 8 04-23 6 and B = 2-2 4 2-5 1, then find the matrix X of order 3 × 2 such that 2A + 3X = 5B.

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Solution

i 2A+B+X=02-1234+3-215+X=0000-2468+3-215+X=0000-2+34-26+18+5+X=000012713+X=0000 X=-1-2-7-13

ii 2A+3X=5B2804-236+3X=52-242-511608-4612+3X=10-102010-2553X=10-102010-255-1608-46123X=10-16-10-020-810+4-25-65-123X=-6-101214-31-7X=13-6-101214-31-7 X=-2-1034143-313-73

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