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If A and B are symmetric matrices of the...

If A and B are symmetric matrices of the same order, then

A

AB is a symmetric matrix

B

A - B is a skew-symmetric matrix

C

AB + BA is a symmetric matrix.

D

AB - BA is a symmetric matrix.

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. If A is any m xx n matrix, then A^2 can be found only when

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  2. If A=[{:(0,1),(1,0):}] then A^(2) is equal to

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  3. If |x pi| le 1, A = 1/pi [(sin^-1(xpi), tan^-1(x/pi)),(sin^-1(x/pi) ,c...

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  4. The matrix [{:(1,0,0),(0,2,0),(0,0,4):}] is a

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  5. If A is a square matrix, then A is symmetric iff

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  6. If A is a square matrix, then A is skew symmetric iff

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  7. If A and B are two matrices of the order 3xx m and 3 xx n respectively...

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  8. The matrix [(0,-1,8),(1,0,12),(-8,-12,0)] is a

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  9. If A is any square matrix, then

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  10. If A and B are symmetric matrices of the same order, then

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  11. If A and B are two skew symmetric matrices of same order, then AB is s...

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  12. If A is a matrix of order mxxn and B is a matix such that AB' and B'A ...

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  13. Each diagonal element of a skew symmetric matrix is

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  14. show that [(1,1,3),(5,2,6),(-2,-1,-3)]=A is nilpotent matrix of order...

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

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  16. If A + B = [(1,0),(1,1)] and A - 2B = [(-1,1),(0,-1)] then A =

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  17. If f(x) = x^2 + 4x - 5 and A = [(1,2),(4,-3)] then f(A) =

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  18. If A and B are symmetric matrices of the same order, then

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  19. If A and B are any two matrics then

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  20. The matrix [(1,1,1),(1,1,1),(1,1,1)] is an

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