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If A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A...

If `A=[(1,1,3),(5,2,6),(-2,-1,-3)]` then A is

A

idempotent matrices

B

involutory matrix

C

nilpotent matrix

D

scalar matrix

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The correct Answer is:
C
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I: If A=[(0,1,2),(2,3,4),(4,5,-6)],B=[(-1,2,3),(0,1,0),(0,0,-1)] then 4A-5B=[(5,-6,-7),(8,7,16),(16,20,-19)] II:If A=[(1,2,3),(3,2,1)]B=[(3,2,1),(1,2,3)] then 3B-2A=[(7,2,-3),(-3,2,7)]

DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1A MCQ (ALGEBRA OF MATRICES)
  1. A square matrix (a(ij)) where a(ij)=0 for i!=j and a(ij)=k (constant) ...

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

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

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

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

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

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

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

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

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

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

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  12. If A=[a(ij)] is a scalar matrix, then trace of A is

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  13. If A=[a(ij)] is a scalar matrix of order nxxn such that a(ii)=k for al...

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  14. The matrix [(3,0,0),(0,2,0),(0,0,1)] is

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  15. The matrix [(a,0,0),(0,b,0),(0,0,c)] is

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  16. The matrix [(1,-3,-4),(-1,3,4),(1,-3,-4)] is

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  17. If A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A is

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  18. If A=[(ab,b^(2)),(-a^(2),-ab)] then A is

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

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  20. If A and B are two skew symmetric matrices of order n then

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