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If `[sinx]+[sqrt(2)cosx]=-3,x in[0,2pi]([.]-GIF), "then" x in`A. `((5pi)/(4),2pi)`B. `[(5pi)/(4),2pi]`C. `(pi,(5pi)/(4))`D. `[pi,(5pi)/(4)]` |
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Answer» Correct Answer - A::B::C `A^(n+2)-B^(n+2)=(A+B)(A^(n+1)-B^(n+1))-AB(A^(n)-B^(n))` `A^(n)-B^(n)=(A+B)(A^(n)-B^(n))-AB(A^(n)-B^(n))` `impliesI=A+B-AB" "[becauseA^(n)-B^(n)"is invertible"]` `implies (I-A)(I-B)=0` As A, `B ne l`, we get I-A and I-B are singluar matrices. |
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