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A^2-A+I=0, then the inverse of A is...

`A^2-A+I=0`, then the inverse of A is

A

` A^-2`

B

`A+I`

C

`F-A`

D

`A`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  3. A^2-A+I=0, then the inverse of A is

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  4. A is a 3 xx 3 matrix and B is its adjoint matrix. If |B|=81, then |A|=

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  5. If A=[[a,0,0],[0,a,0],[0,0,a]] then |adj A|=

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  6. For a 3xx 3 matrix A, if det A=3, then det (adj A)=

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  7. If (1 x 2)[[1,2,3],[0,1,5],[0,2,3]] [[x],[-1],[2]]=0 then x=

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  8. If A and B are two matrices such that A B=B and B A=A, then A^2+B^2=

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  9. If A=[[3,-4],[1,-1]] then the value of A^n=

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  10. If A is a square matrix of order n, then det (adj A)=

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  11. For any 2xx 2 matrix A, if A . adj A = [[7,0],[0,7]] then |A| is equal...

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  12. If A=[[1,-1,2],[2,1,-1],[-1,2,1]], then det [adj .(adj A)]=

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  13. If A = [[1,0,0],[0,1,0],[0,0,1]], then A^2+2 A=

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  14. If A = [[0,c,-b],[-c,0,a],[b,-a,0]] and B = [[a^(2),ab,ac],[ab,b^2,bc]...

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  17. If A = [(1,1),(1,1)] and n in N , then A^(n) equals :

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