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Question

Find matrices X and Y, if 2X − Y = 6-60-4 21 and X + 2Y = 32 5-21-7

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Solution

Given:2X-Y=6-60-421 ...1 X+2Y=325-21-7 ...2Multiplying eq. 1 by eq. 2, we get22X-Y=26-60-4214X-2Y=12-120-842 ...3From eq. 3 and eq. 4, we get 4X-2Y+X+2Y=12-120-842+325-21-75X=12+3-12+20+5-8-24+12-75X=15-105-105-5X=1515-105-105-5X=3-21-21-1Putting the value of X in eq. 2, we getX+2Y=325-21-73-21-21-1+2Y=325-21-72Y=325-21-7-3-21-21-12Y=3-32+25-1-2+21-1-7+1Y=02200-3

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