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If A is a singular matrix of order n, th...

If A is a singular matrix of order n, then `(adjA)` is

A

symmetric

B

singular

C

non-singular

D

not defined

Text Solution

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The correct Answer is:
B
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NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If A is a singular matrix of order n, then A(adjA)=

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  2. If A is a ntimesn matrix and |A|ne0, then adj(adjA)=

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  3. If A is a singular matrix of order n, then (adjA) is

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  4. If A is a square matrix, then adj(A')-(adjA)'=

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  5. If A is a non-singular matrix of order 3, (adjA)+A^(-1)=0, then |A|=

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  6. If A is a non-singular matrix of order 3, then |adjA^(3)|=

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  7. If D is the determinant of a square matrix A of order n, then the dete...

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  8. Which of the following is/are incorrect? (i).Adjoint of symmetric mat...

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  9. The inverse of a matrix A=[[a, b], [c, d]] is

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  10. If A and B are non-singular matrices, then

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  11. If A, B, C are invertible matrices, then (ABC)^(-1)=

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

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  13. The inverse of a summetric matrix is

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  14. If I(3) is identity matrix of order 3, then I(3)^(-1)=

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  15. The matrix having the same matrix as its inverse

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  16. Let A be a square matrix all of whose entries are integers. Then which...

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  17. If A=[[2, 0, 0], [0, 2, 0], [0, 0, 2]], then A^(5)=

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  18. If A=[[2, 0, 0], [0, 2, 0], [0, 0, 2]], then A^(6)=

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  19. If A and B are 3times3 matrices such that AB=A and BA=B, then

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  20. If A is a square matrix such that A^(2)=A, then (I-A)^(2)+A=

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