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If a(ij)=(1)/(2) (3i-2j) and A = [a(ij)]...

If `a_(ij)=(1)/(2) (3i-2j) and A = [a_(ij)]_(2xx2)` is

A

`|(1/2,2),(-1/2,1)|`

B

`[(1/2,-1/2),(2,1)]`

C

`[(2,2),(1/2,-1/2)]`

D

`[(-1/2,1/2),(1,2)]`

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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  2. What must be the matrix X, if 2X+ [(1,2),(3,4)]=[(3,8),(7,2)]?

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  3. Which of the following is not true about the matrix|(1,0,0),(0,0,0),(0...

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  4. If A and B are two matrices such that A+B and AB are both defined, the...

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  5. If A = [(lambda,1),(-1,-lambda)], then for what value of lambda,A^(2)=...

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  6. If A= [(1,-1),(2,-1)] and B = [(a,1),(b,-1)] and(A+B)^(2)=A^(2)+B^(2),...

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  7. If A = [(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisfying the equation ...

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

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

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

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

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

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

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

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

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

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

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  19. If |.| denotes the greatest integer less than or equal to the real num...

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

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