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If A=[[1, 1, 0], [2, 1, 5],[1, 2, 1]] an...

If `A=[[1, 1, 0], [2, 1, 5],[1, 2, 1]] and a_(ij)` denote the cofactor of element `A_(ij)`, then `a_(11)A_(21)+a_(21)A_(22)+a_(13)A_(23)=`

A

`1`

B

`0`

C

`-1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
`A`
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NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. Which one of the following statements is true?

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  2. If A=[[a(11), a(12), a(13)], [a(21), a(22), a(23)], [a(31), a(32), a(3...

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  3. If A=[[1, 1, 0], [2, 1, 5],[1, 2, 1]] and a(ij) denote the cofactor ...

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  4. If A=[[a(11), a(12), a(13)], [a(21), a(22), a(23)], [a(31), a(32), a(3...

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  5. If A and B are non-singular square matrices of same order then adj(AB)...

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  6. If A is a non-singular matrix of order n, then A(adj A)=

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The inverse of a summetric matrix is

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

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