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If A=[[1, 2], [3, 4]] and AX=I, then X=...

If `A=[[1, 2], [3, 4]] and AX=I`, then X=

A

`[[2, -1], [-3, 1]]`

B

`-[[2, -1], [-3, 1]]`

C

`(1)/(2)[[4, -2], [-3, 1]]`

D

`(-1)/(2)[[4, -2], [-3, 1]]`

Text Solution

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The correct Answer is:
D
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NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
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  2. If [[1, 1], [0, 1]]A=I, then A=

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  3. If A=[[1, 2], [3, 4]] and AX=I, then X=

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  4. If matrix A=[[1, 2],[3, 4]] such that AX=I , then X=

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  5. If A=[[1, tan((theta)/(2))], [-tan((theta)/(2)), 1]] and AB=I, then B=

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  6. If AX=B, where {:A=[(-1,2),(2,-1)]:},{:B=[(3),(1)]:}, then X=

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  7. The matrix A satisfying A[[1, 5], [0, 1]]=[[3, -1], [6, 0]] is

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  8. If A=[[1, 2], [-1, 3]], B=[[0, 1], [2, 4]] and AX=B, then X=

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  9. If A=[[1, 1], [1, 2]], B=[[4, 1], [3, 1]], C=[[24, 7], [31, 9]] and AX...

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

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  11. The inverse of the matrix [[x, 0, 0], [0, y, 0], [0, 0, z]] is

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  12. The inverse of the matrix [[2, 0, 0], [0, 1, 0], [0, 0, -1]] is

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  13. If A=[[0, 1, 0], [1, 0, 0], [0, 0, 1]], then A^(-1)=

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  14. The inverse of [[0, 0, 1], [0, 1, 0], [1, 0, 0]] is

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  15. The inverse of the matrix [[1, 0, 0], [2, 1, 0], [3, 3, 1]] is

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  16. The inverse of the matrix [[2, 1, 3], [1, 0, 1], [1, 1, 1]] is

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  17. The inverse of the matrix [[1, 3, 3], [1, 4, 3], [1, 3, 4]] is

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  18. The inverse of the matrix [[3, -2, -1], [-4, 1, -1], [2, 0, 1]] is

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  19. The inverse of the matrix [[1, 0, 0], [3, 3, 0], [5, 2, -1]] is

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  20. If A=[[1, 0, 0], [a, 1, 0], [b, c, 1]], then A^(-1)=

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