InterviewSolution
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InterviewSolution
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Transform `[(1,3,3),(2,4,10),(3,8,4)]` into a unit matrix. |
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Answer» Let `A=[(1,3,3),(2,4,10),(3,8,4)]` Applying `R^(2)to R^(2)-2R_(1) and R_(3) to R_(3)-3R_(1), ` we get `A~[(1,3,3),(0,-2,4),(0,-1,-5)]` Applying `R_(2) to ((-1)/(2))R_(2) and R_(2)to (-1)R_(2),` we get `A~[(1,3,3),(0,1,-2),(0,1,5)]` Applying `R^(1)to R^(1)-3R_(2) and R_(3) to R_(3)-R_(1),` we get `A~[(1,0,9),(0,1,-2),(0,0,7)]` Applying `R_(3) to ((1)/(7))R_(3)` we get `A~[(1,0,9),(0,1,-2),(0,0,1)]` Applying` R_(1) to R_(1)-9R_(3) and R_(2) to R_(2) +2R_(3),` we get `A~[(1,0,0),(0,1,0),(0,0,1)]` Hence `A~I` |
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