1.

If [sinx]+[sqrt(2)cosx]=-3,x in[0,2pi]([.]-GIF), "then" x in

Answer»

`((5PI)/(4),2pi)`
`[(5pi)/(4),2pi]`
`(pi,(5pi)/(4))`
`[pi,(5pi)/(4)]`

Solution :`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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