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The matrix [(lamda,-1,4),(-3,0,1),(-1,1,...

The matrix `[(lamda,-1,4),(-3,0,1),(-1,1,2)]` is invertible if

A

`lambda ne -15`

B

`lambda ne -17`

C

`lambda ne -16`

D

`lambda ne -18`

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The correct Answer is:
b
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TARGET PUBLICATION-MATRICES-COMPETITIVE THINKING (Inverse off a matrix )
  1. If A=[(1,lambda,2),(1,2,5),(2,1,1)] is not invertible then lambda=?

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  2. Matrix A=[[1, 0, -k], [2, 1, 3], [k, 0, 1]] is invertible for

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  3. The matrix [(lamda,-1,4),(-3,0,1),(-1,1,2)] is invertible if

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  4. IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] ...

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  5. IF A=[(1,1,0),(2,1,5),(1,2,1)],then a(11) A(21) +a(12)+a(12)A(22)+a...

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  6. Matrix A=[(1,2,3),(1,1,5),(2,4,7)], then the value of a(31)A(31)+a(32)...

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  7. If X=[[-x, -y], [z, t]], then transpose of adjX is

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  8. Let A=[(1,0,0),(5,2,0),(-1,6,1)], then the adjoint of A is

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  9. if A=[[2,-3],[-4,1]] then (3A^2+12A)=?

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  10. If A=[(1,-1,1),(0,2,-3),(2,1,0)],B=(adjA) and C=5A, then (|adjB|)/(|C|...

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  11. If A=[{:(3,2),(1,4):}], then what is A (adj A) equal to ?

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  12. If A=[(cos x, sin x),(-sin x,cos x)], then A(adj A)=

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  13. If A=[(cos alpha,sin alpha),(-sin alpha,cos alpha)] and A. adj A=[(k,...

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  14. If k is a scalar and l is a unit matrix of order 3 then adj(kl) is equ...

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  15. If x is square materix of order 3xx3 and lambda is a scalar, then adj ...

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  16. If A is a singular matrix, then adj A is a. singular b. non singula...

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  17. If d is the determinant of a square matrix A of order n , then the ...

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  18. If A={:[(4,2),(3,4)],:}" then: "|adj,A|=

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  19. For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...

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  20. If A is a matrix of order 3, such that A(adj A)=10I, then |adj A|=

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