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

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

A

nilpotent

B

involutary

C

idempotent

D

scalar

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The correct Answer is:
A
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MOTION-MATRICES -Exercise - 1
  1. If A=[(a,b),(b,a)]and A^(2)=[(alpha,beta),(beta,alpha)], then -

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  2. If A and B are square matrices of order n xx n such that A^2-B^2=(A-B)...

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

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  4. A = [[2,-1],[-7,4]] & B =[[4,1],[7,2]] then B^TA^T is :

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  5. If a non-singular matrix and A^(T) denotes the tranpose of A, then

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  6. If A is skew-symmetric matrix, then trace of A is

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  7. If A and B are symmetric matrices, then A B A is

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  8. If A is a skew-symmetric matrix and n is an even natural number,...

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  9. Which one of the following is wrong ?

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  10. [{:(,1,2),(,2,1):}],[{:(,1,2),(,2,1):}]

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  11. If A=[(costheta,-sintheta,0),(sintheta,costheta,0),(0,0,1)], then adj ...

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  12. If A is a squqre matrix such that A^(2)=l, then A^(-1) is equal to

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  13. If A=[(3,-3,4),(2,-3,4),(0,-1,1)], then :

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  14. If A = [[1,2],[3,-5]] and B=[[1,0],[0,2]] and X is a matrix such that ...

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  15. Given A=[(1,3),(2,2)],I=[(1,0),(0,1)]. If A-lambdaI is a singular mat...

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  16. From the matrix equation AB = AC we can conclude B = C provided that

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  17. If A^2-A+I=0, then the invers of A is

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  18. Which of the following is incorrect

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  19. If A is a square matrix of order 3, then the true statement is (where ...

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  20. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

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