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The value of `lamda` so that the matric `A^(-1)lamdaI` is singular where `A=[{:(6,-2,2),(-2,3,-1),(2,-1,3):}]`A. `(1)/(2),(-1)/(2)`B. `1,(-1)/(2)`C. `1,(1)/(8)`D. `(1)/(2),(1)/(8)` |
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Answer» Correct Answer - D `|A^(-1)-lamdal|=0` `|A||A^(-1)-lamdal|=0` `|l-lamdaA|=0` `|(l)/(lamda)-A|=0` `|A-(1)/(lamda)l|=0` `|{:(6-(1)/(lamda),-2,2),(-2,3-(1)/(lamda),-1),(2,-1,3-(1)/(lamda)):}|=0` `lamda=(1)/(2),(1)/(8)` |
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