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If [[x, 1, 1], [2, 3, 4], [1, 1, 1]] has...

If `[[x, 1, 1], [2, 3, 4], [1, 1, 1]]` has no inverse, then x=

A

`-4`

B

`-2`

C

`1`

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. The matrix [[1, a, 2], [1, 2, 5], [2, 1, 1]] is not invertible, if a=

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  2. If the inverse of [[1, 2, x], [4, -1, 7], [2, 4, -6]] does not exist, ...

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  3. If [[x, 1, 1], [2, 3, 4], [1, 1, 1]] has no inverse, then x=

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

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  5. If k is a scalar and I is unit matrix of order 3, then adj(kI)=

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  6. If a=[[-2, 6], [-5, 7]], then adjA=

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  7. If A=[[2, -3], [3, 5]], then adjA=

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  8. If A=[[2, -3], [4, 1]], then adjA=

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  9. If A=[[4, 2], [3, 4]], then |adjA|=

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

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  11. Adjoint of the matrix N=[[-4, -3, -3], [1, 0, 1], [4, 4, 3]] is

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  12. If A=[[-1, -2, -2], [2, 1, -2], [2, -2, 1]], then adjA=

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  13. If A=[[3, 5, -1], [2, 0, 4], [1,-3, 0]], then [[12, 4, -6], [3, 1, 14]...

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  14. If A=[[1, -1, 2], [-2, 3, 5], [-2, 0, -1]], then adjA=

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  15. If A=[[2, 0, -1], [3, 1, 2], [-1, 1, 2]], then adjA=

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  16. If A=[5a-b3 2] and A adj A=AA^T , then 5a+b is equal to: (1) -1 (2) ...

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  17. If the adjoint of a 3 3 matrix P is 1 4 4 2 1 7 1 1 3 , then the po...

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  18. A=[[1, 0, 2], [-1, 1, -2], [0, 2, 1]] and adjA=[[5, x, -2], [1, 1, 0],...

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  19. If A=[[-1, -2, -2], [2, 1, -2], [2, -2, 1]] and kA'=adjA, then k=

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  20. If A is a unit matrix of order n, then A(adjA) is

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