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If A is a square matrix satisfying the e...

If A is a square matrix satisfying the equation `A^(2)-4A-5I=0`, then `A^(-1)=`

A

`(1)/(5)(A+4I)`

B

`(1)/(5)(A-4I)`

C

`(1)/(5)(I-4A)`

D

`(1)/(5)(I+4A)`

Text Solution

Verified by Experts

The correct Answer is:
B
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NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
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  2. If A^(2)-A+I=0, then A^(-1)=

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  3. If A is a square matrix satisfying the equation A^(2)-4A-5I=0, then A^...

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  4. If A=[[3, 1], [-1, 2]] and A^(2)-5A+7I=0, then I=

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  5. If A is non-singular and (A-2I)(A-4I)=0, then (1)/(6)(A)+(4)/(3)(A^(-1...

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

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

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

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

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

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

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

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

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