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Question

solve question by Matrix method 8X + 6y + Z = 120 4 x + 8 Y + 12Z =180 6x+ 4y + 6z= 140

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Solution

8x+6y+z=1204x+8y+12z=1806x+4y+6z=140We can write the system of equations asAX=BwhereA=8614812646A=848-48-624-72+116-48=0-6-48+1-32=288-32=256X=xyzB=120180140AX=BX=A-1BCo-factor matrixc11=0c12=48c13=-32c21=-32c22=42c23=4c31=64c32=-92c33=40C=048-32-3242464-9240Adj A=CT=0-32644842-92-32440A-1=1AAdj A=12560-32644842-92-32440X=A-1BX=12560-32644842-92-32440120180140X=12560-32644842-92-3244020697X=202560-32644842-92-32440697X=202560-288+448288+378-644-192+36+280X=56416022124X=5×160645×22645×12464X=252553215516xyz=252553215516x=252y=5532z=15516

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