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If a matrix A is such that 3A^(3)+2A^(2)...

If a matrix A is such that `3A^(3)+2A^(2)+5A+I=0`, then its inverse is

A

`3A^(2)-2A-5I`

B

`3A^(2)+2A+5I`

C

`-(3A^(2)+2A+5I)`

D

`3A^(2)-2A+5I`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
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  2. If A is non-singular and (A-2I)(A-4I)=0, then (1)/(6)(A)+(4)/(3)(A^(-1...

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  3. If a matrix A is such that 3A^(3)+2A^(2)+5A+I=0, then its inverse is

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  4. If A is a non-singular matrix, such that I+A+A^(2)+… +A^(n)=0, then A^...

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  5. If A is an 3x3 non-singular matrix such that AA^(prime)-A^(prime)A a n...

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  6. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(...

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  7. If A and B are square matrices of the same order such that (A+B)(A-B)=...

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  8. For a square matrix A and a non-singular matrix B, of the same order, ...

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  9. If A=[[0, 3], [2, 0]] and A^(-1)=lambda(adjA), then lambda=

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  10. If A=[(x,-2),(3,7)] and A^(-1)=[(7/34,1/17),((-3)/34,2/17)],then the v...

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  11. If matrix A=[{:(3,2,4),(1,2,-1),(0,1,1):}]and A^(-1)=1/k adj A, then k...

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  12. If A^(-1)=(1)/(3)[[1, 4, -2], [-2, -5, 4], [1, -2, 1]] and |A|=3, then...

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  13. If A=[[cosalpha, -sinalpha, 0], [sinalpha, cosalpha, 0], [0, 0, 1]], t...

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  14. The element of second row and third column in the inverse of [[1, 2, 1...

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  15. The element of second row and third column in the inverse of [[1, 2, -...

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  16. Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(...

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  17. If matrix A=[[1, 0, -1], [3, 4, 5], [0, 6, 7]] and its inverse is deno...

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

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  19. If the inverse of [[2, -1, 4], [4, -3, 1], [1, 2, 1]] is (1)/(37)[[-5,...

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  20. If A=[[costheta, sintheta], [-sintheta, costheta]], then |A^(-1)|=

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