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If A=[(a+ib,c+id),(-c+id,a-ib)] and a^(2...

If `A=[(a+ib,c+id),(-c+id,a-ib)]` and `a^(2)+b^(2)+c^(2)+d^(2)=1`, then `A^(-1)` is equal to

A

`[(a-ib,-c+id),(c+id,a+ib)]`

B

`[(a-ib,c-id),(-c-id,a+ib)]`

C

`[(a-ib,-c-id),(c-id,a+ib)]`

D

none of these

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-MATRICES-EXERCISE ( LEVEL -1) (Single Correct Answer Type Questions)
  1. The values of a for which the matrix A = ((a,a^(2)-1,-3),(a+1,2,a^(...

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  2. Let A(t)=((1,3,2),(2,5,t),(4,7-t,-6)) then the values (s) of t for whi...

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  3. If A=[(a+ib,c+id),(-c+id,a-ib)] and a^(2)+b^(2)+c^(2)+d^(2)=1, then A^...

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  4. If A=[((1)/(2)(e^(ix)+e^(-ix)),(1)/(2)(e^(ix)-e^(-ix))),((1)/(2)(e^(ix...

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  5. If A= [(ab,b^(2)),(-a^(2),-ab)] then A^(2) is equal

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  6. If A is 2xx2 matrix such that A^(2) =O then tr (A) is

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  7. If A = [(a,b),(c,d)] such that A satisfies the relation A^(2)-(a+d) A=...

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  8. If A =[(3,2),(0,1)] then A^(-3) is

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  9. If A is a skew Hermitian matrix then the main diagonal elements of A a...

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  10. If A =[(1,2,1),(0,1,-1),(3,-1,1)] and AA' =I , then x+y is equal to

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  11. If 3A =[(1,2,2),(2,1,-2),(x,2,y)] and A'A =I then x+y is equal to

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  12. If the system of equations ax +y=3,x+2y=3 , 3x+4y=7 is consistent then...

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  13. If the system of equations x+2y-3z=1,(P+2)z=3,(2P+1)y+z=2 is inconsist...

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  14. The system of linear equations x+y+z=2 2x+y-z=3 3x+2y+kz=4 has a...

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  15. If A=[{:(4,x+2),(2x-3,x+1):}] is a symmetric matrix, then x=?

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  16. If A and B are two square matrices of the same order then which of the...

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  17. Value of 'alpha' for which system of equations x+y+z=1,x+2y+4z=alpha a...

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  18. The system of homogenous equations tx+(t+1)y+(t-1)z=0, (t+1)x+ty+(t+...

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  19. If A and B are 3xx3 matrices and abs(A)ne 0, which of the following ...

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  20. If A = ((i,-i),(-i,i)) and B= ((1,-1),(-1,1)) then A^(8) equals

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