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The inverse of the matrix [[1, 2, 3], [-...

The inverse of the matrix `[[1, 2, 3], [-1, 1, 2], [1, 2, 4]]` is

A

`[[0, -2, 1], [2, 1, 5], [-1, 0, -3]]`

B

`[[0, -2, 1], [6, 1, -5], [-1, 0, 1]]`

C

`(1)/(3)[[0, -2, 1], [6, 1, -5], [-3, 0, 3]]`

D

`(-1)/(3)[[0, -2, 1], [6, 1, -5], [-3, 0, 3]]`

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. The inverse of the matrix [[1, 2, -2], [0, -2, 1], [-1, 3, 0]] is

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  2. The inverse of the matrix [[3, 2, 6], [1, 1, 2], [2, 2, 5]] is

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

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  4. The inverse of the matrix [[costheta, -sintheta, 0], [sintheta, costhe...

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  5. If F(alpha)=[[cosalpha, -sinalpha, 0], [sinalpha, cosalpha, 0], [0, 0,...

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  6. Then inverse of the matrix [[1, 0, 0], [0, costheta, sintheta], [0, si...

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  7. If A=[[sectheta, tantheta, 0], [tantheta, sectheta, 0], [0, 0, 1]], th...

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  8. A=[[3, 2, 6], [1, 1, 2], [2, 2, 5]], B=[[1, 2, -2], [-1, 3, 0], [0, -2...

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  9. If A=[[1, 0, 0], [0, 1, 1], [0, -2, 4]] and A^(-1)=(1)/(6)(A^(2)+cA+dI...

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  10. If A=[[2, 2, 1], [1, 3, 1], [1, 2, 2]], and A^(-1)+(A-5I)(A-I)^(2)=

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  11. If A=[[1, 2, 2], [2, 1, 2], [2, 2, 1]] and A^(-1) exist and not equal ...

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  12. If for AX=B, B=[[9], [52], [0]] and A^(-1)=[[3, -(1)/(2), -(1)/(2)], [...

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  13. If A=[[1, 2, 3], [-1, 1, 2], [1, 2, 4]], B=[[1], [2], [3]] and AX=B, t...

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  14. If A=[[1, 0, 1], [0, 2, 3], [1, 2, 1]], b=[[1, 2, 3], [1, 1, 5], [2, 4...

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

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  16. If A=[[1, 2, 3], [1, -2, -3]], B=[[1, -1], [1, 2], [1, -1]], then

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  17. If A=[[2, 2], [-3, 2]] and B=[[0, -1], [1, 0]], then (B^(-1)A^(-1))^(-...

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  18. If A=[[2, 2], [-3, 2]] and B=[[0, -1], [1, 0]], then (B^(-1)A^(-1))^(-...

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  19. If A=[[4, 1], [2, 3]] and B=[[2, 1], [0, -2]], then (AB)^(-1)=

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  20. If A=[[2, 3], [1, 2]], B=[[3, 1], [0, 3]] then B^(-1)A^(-1)=

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