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If {:A=[(ab,b^2),(-a^2,-ab)]:}, then A i...

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

A

Idempotent

B

involutory

C

nilpotent

D

scalar

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-MATRICES-Exercise
  1. If A is an orthogonal matrix then A^(-1) equals a.A^T b. A c. A^2 ...

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  2. If D=diag(d1,d2,d3,…,dn)" where "d ne 0" for all " I = 1,2,…,n," then ...

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

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  4. If A is a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are ...

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  5. Let {:A=[(1,2),(-5,1)]and A^(-1)=xA+yI:}, then the values of x and y a...

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  6. If A and B arę square matrices of same order such that AB = A and BA =...

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  7. The inverse of an invertible symmetric matrix is a symmetric matrix.

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  8. The inverse of a diagonal matrix is a. a diagonal matrix b. a skew sym...

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  9. If A is a symmetric matrixfand n in N, then A^(n) is

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

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

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

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  13. If A = [a(ij)] is a skew-symmetric matrix of order n, then a(ij)=

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  14. If A and B are symmetric matrices of the same order, write whether ...

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  15. If A and B are square matrices of the same order such that A B=B A ...

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  16. The trace of the matrix A=[1-5 7 0 7 9 11 8 9] is (a) 17 (b) 25 ...

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  17. If A is a skew- symmetric matrix, then trace of A is: 1.) 1 2.) -...

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  18. If {:A=[(1,x),(x^7,4y)],B=[(-3,1),(1,0)]and adjA+B=[(1,0),(0,1)]:}, th...

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  19. If A is a square matrix of order n xx n and k is a scalar, then adj (k...

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  20. If A is a singular amtrix, then adj A is

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