InterviewSolution
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InterviewSolution
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if a matrix M is given by `[{:(0,1,2),(1,2,3),(3,1,1):}]` and if `M[{:(alpha),(beta),(gamma):}]=[{:(1),(2),(3):}]` thenA. `adj(M^(-1))+(adjM)^(-1)=-M`B. `|adj(M^(2))|=81`C. `alpha+2beta+3gamma=2`D. `beta+2gamma=3` |
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Answer» Correct Answer - A::C `[{:(0,1,2),(1,2,3),(3,1,1):}][{:(alpha),(beta),(gamma):}]=[{:(1),(2),(3):}]` `impliesbeta+2gamma=1` `alpha+2beta+3gamma=2` `3alpha+beta+gamma=3` `impliesalpha=1,beta=-1,gamma=1` `|M|=-2` `|adjM^(2)|=|M^(2)|^(2)=|M|^(4)=16` `adj(M^(-1))=|M^(-1)|M=(-M)/(2)` `(adjM)^(-1)=adj(M^-1)=-(M)/(2)` |
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