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If A= [[a,b],[c,-a]] is such that A^(2)=...

If `A= [[a,b],[c,-a]]` is such that `A^(2)=I`, then a,b,c satisfy the relation

A

`1+a^(2)+bc=0`

B

`1-a^(2)-bc=0`

C

`1+a^(2)-bc=0`

D

`1-a^(2)+bc=0`

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The correct Answer is:
B
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  3. If A= [[a,b],[c,-a]] is such that A^(2)=I, then a,b,c satisfy the rela...

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  4. If A=[[a,0,0],[0,a,0],[0,0,a]] then A^n='

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  5. If A=[[1,a],[0,1]], then lim (n to oo)(1)/(n) A^n is

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  7. If the matrix A is such that A[[-1,2],[3,1]]=[[-4,1],[7,7]] then A=

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  8. IfA=[[1,(1)/(2)], [0,1]] then A^(64)=

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  9. If A=[[1,-2],[x,y]] and A A^prime=I then x=

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  10. If A= [[0,1,0],[1,0,0],[0,0,1]], then A^(2n)= where n is a positive in...

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  11. If A=[[0,1],[1,0]], then A^4 =

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  12. The order of [[x,y,z]][[a,h,g],[h,b,f],[g,f,c]][[x],[y],[z]] is

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  16. If A= [[0,-2,3],[2,0,-1],[-3,1,0]] then A^5 is

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