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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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PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-SOLUTION TO EXERCISE 7.5
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  4. If A and B are symmetric matrices of order n,where(A ne B),then:

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  8. If =|(2a,x(1),y(1)),(2b,x(2),y(2)),(2c,x(3),y(3))|=abc/2 ne 0then the ...

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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 x(1),x(2),x(3)as well as y(1),y(2),y(3) are in geometric progressio...

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

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

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

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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. If A and B are symmetric matrices of same order.Prove that AB-BA is a...

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