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If the square of the matrix [(alpha,beta...

If the square of the matrix `[(alpha,beta),(gamma,-alpha)]` is the unit matrix of order 2 , then `alpha , beta and gamma` should satisfy the relation.

A

`1+alpha^2 + beta gamma =0`

B

`1-alpha^2 - beta gamma =0`

C

`1-alpha^2 + beta gamma =0`

D

`1+alpha^2 - beta gamma =0`

Text Solution

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The correct Answer is:
B
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NCERT TAMIL-MATRICES AND DETERMINANTS -EXERCISE 7.5
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  2. If A=[(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisfying the equation "...

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  3. If A is a square matrix, then which of the following is not symmetric?

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  4. If A and B are symmetric matrices of order n, where (A ne B), then

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  5. If A=[(a,x),(y,a)] and if xy = 1 then det ("A A"^T) is equal to

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  6. The value of x, for which the matrix A=[(e^(x-2),e^(7+x)),(e^(2+x),e^(...

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  7. If the points (x,−2), (5, 2), (8,8) are collinear, then x is equal to

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  8. If |(2a,x1, y1),(2b,x2,y2),(2c,x3,y3)|=(abc)/2 ne 0 , then the area o...

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  9. If the square of the matrix [(alpha,beta),(gamma,-alpha)] is the unit ...

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  10. If Delta=|(a,b,c),(x,y,z),(p,q,r)|, then |(ka,kb,kc),(kx,ky,kz),(kp,kq...

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  11. A root of the equation |(3-x,6,3),(-6,3-x,3),(3,3,-6-x)|=0 is

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  12. The value of the determinant of A=[(0,a,-b),(-a,0,c),(b,-c,0)] is

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  13. If x1 , x2 , x3 as well as y1 , y2 , y3 are in geometric progressio...

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  14. If lfloor.rfloor denotes the greatest integer less than or equal to t...

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  15. If a ne b , b ,c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0 then abc =

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  16. A=|(-1,2,4),(3,1,0),(-2,4,2)| and B=|(-2,4,2),(6,2,0),(-2,4,8)| , then...

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  17. If A is skew-symmetric of order n and C is a column matrix of order n ...

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  18. The matrix A satisfying the equation [(1,3),(0,1)]A=[(1,1),(0,-1)] is

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  19. If A+I =[(3,-2),(4,1)] then (A + I )(A - I ) is equal to

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  20. Let A and B be two symmetric matrices of same order. Then which one of...

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