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If A and B are two symmetric matrix of s...

If `A` and `B` are two symmetric matrix of same order, then show that `(AB-BA)` is skew symmetric matrix.

A

a symmetric matrix

B

a skew- symmetric matrix

C

a null matrix

D

the identity matrix

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1A MCQ (ALGEBRA OF MATRICES)
  1. If A is a square matrix then "AA" is

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  2. A and B are two matrices each of order nxxn. Then which of the followi...

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  3. If A and B are two symmetric matrix of same order, then show that (AB-...

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  4. If A is a symmetric matrix and n epsilon N, then A^(n) is

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  5. If A is a skew symmetric matrix and n is a positive integer then A^(n)...

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  6. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

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  7. If A is a skew symmetric matrix and n is an even positive integer then...

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  8. A is a symmetric matrix or skew symmetric matrix. Then A^(2)is

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  9. Let A be a square matrix. Then A+A^(T) will be

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  10. A square matrix (a(ij)) where a(ij)=0 for i!=j and a(ij)=k (constant) ...

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  11. If A = [(-1,2,3),(2,5,6),(3,x,7)] is symmetric, find value of x.

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  12. If [(0,4,-2),(-4,0,8),(2,-8,x)] is a skew symmetric matrix then find t...

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  13. If [(0,2,1),(-2,0,-2),(-1,x,0)] is a skew symmetric matrix then find t...

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  14. Express A=[(2,0,-3),(4,3,1),(-5,7,2)] as a sum of a symmetric and a sk...

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  15. Find the trace of [(1,3,-5),(2,-1,5),(2,0,1)]

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  16. If the trace of a matrix A is 3 then the trace of 5A is

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  17. If the trace of A is 20 and the trace of B is 5 then the trace of A-B ...

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  18. If the trace of AB is 25 then the trace of BA is

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  19. If the traces of A,B are 20 and -8 then the trace of A+B is

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  20. If A is a skew symmetric matrix, then trace of A is

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