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If [(1,-tantheta),(tantheta,1)][(1,tanth...

If `[(1,-tantheta),(tantheta,1)][(1,tantheta),(-tantheta,1)]^(-1)=[(a,-b),(b, a)]` , then `a=1,\ \ b=0` (b) `a=cos2\ theta,\ \ b=sin2\ theta` (c) `a=sin2\ theta,\ \ b=cos2theta` (d) none of these

A

`a=1,b=1`

B

`a=cos2theta,b=sin2theta`

C

`a=sin2theta,b=cos2theta`

D

none of these

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B
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OBJECTIVE RD SHARMA ENGLISH-MATRICES-Exercise
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  3. If [(1,-tantheta),(tantheta,1)][(1,tantheta),(-tantheta,1)]^(-1)=[(a,-...

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  4. If A and B are two matrices such that A+B and AB are both defind, then

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  5. If a matrix A is such that 3\ A^3+2\ A^2+5\ A+I=0 , then A^(-1) is equ...

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  7. If A is an invertible matrix, then which of the following is correct

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  9. If [[alpha, beta], [gamma, -alpha]] is to be square root of two-rowed ...

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  10. If for matrix A,A^(2)+l=0, where l is the identity matrix, then A equa...

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  11. If A=[a(ij)](mxxn) is a matrix of rank r then (A) r=min{m,n} (B) rlemi...

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  12. If In is the identity matrix of order n, then rank of In is

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  13. A=[a(ij)](mxxn) is a square matrix, if

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  15. If A is a matrix such that there exists a square submatrix of order r ...

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  17. If a square matrix A is orthogonal as well as symmetric, then

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  18. Let A be a skew-symmetric of odd order, then absA is equal to

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