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If a matrix A is such that 3A^3 +2A^2+5A...

If a matrix `A` is such that `3A^3 +2A^2+5A+I= 0`, then `A^(-1)` is equal to

A

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

B

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

C

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

D

none of these

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
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  3. If a matrix A is such that 3A^3 +2A^2+5A+I= 0, then A^(-1) is equal to

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  5. If A, B, and C are three square matrices of the same order, then AB=AC...

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  7. If omega is a complex cube root of unity then the matrix A = [(1, omeg...

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  9. Let A=[[a,b],[c,d]] be a 2xx2 real matrix. If A-alphaI is invertible f...

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  10. If A =[(1,2),(3,4)] then A^(2)-5A equals

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  11. Solve system of linear equations, using matrix method, x y" "+" "2...

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  16. If a matrix A is both symmetric and skew-symmetric, then A is a dia...

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  17. Let A = [(2,-1),(3,4)], B = [(5,2),(7,4)] , C = [(2,5),(3,8)] . Let ...

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  18. If A^2 = A, then (I + A)^(4) is equal to

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  19. The matrix A = [(0,0,-7),(0,-7,0),(-7,0,0)] is a

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  20. If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.

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