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If A,B are two idempotent matrices and A...

If A,B are two idempotent matrices and `AB=BA=O` then `A+B` is

A

Scalar matrix

B

diagonam matrix

C

nilpotent matrix

D

Idempotent matrix

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The correct Answer is:
D
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AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES -EXERCISE - I
  1. The additive inverse of [(1,4,-7),(-3,2,5),(2,3,-1)] is

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  2. The order of the matrix A is 3xx5 and that of B is 2xx3. The order of ...

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  3. If A,B are two idempotent matrices and AB=BA=O then A+B is

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  4. If A and B are two square matrices of order n and A and B commute then...

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

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  6. If A=[(3,0),(-4,-1)]B=[(3,5,-7),(0,-1,8)]C=[(6),(-1),(0)] then ABC=

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  7. If ((3,-2),(-1,2))((x),(y))=((11),(-5)), then 3x+7y=

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  8. If A=[(4,1,0),(1,-2,2)],B=[(2,0,-1),(3,1,4)],C=[(1),(2),(-1)] and (3B-...

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  9. If A=((2,3),(0,4))then A^(2)-5I=

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  10. If A and B are matrices such that AB = O then

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  11. A=[(-1,0),(0,2)]impliesA^(3)-A^(2)=

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  12. A=[{:(1,2,2),(2,1,2),(2,2,1):}], then A^(3) - 4A^(2) -6A is equal to

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

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

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  15. If the trace of A is 7 then the trace of 7A is

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

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

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  18. If the traces of A are 19 and B are 8 then the trace of A-B is

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  19. If tr(A)=2+i then tr((2-i)A)=

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  20. If tr(A)=3,tr(B)=5 then tr(AB)=

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