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If A = [{:(1,0),(1,1):}] , then value of...

If A = `[{:(1,0),(1,1):}]` , then value of `A^(-a)` is

A

`[{:(-1,0)(a,1):}]`

B

`[{:(0,-1)(2,a):}]`

C

`[{:(1,0)(-a,1):}]`

D

None ot these

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The correct Answer is:
C
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DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
  1. If for AX=B, B=[[9], [52], [0]] and A^(-1)=[[3, -(1)/(2), -(1)/(2)], [...

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  2. If matrix [(1,2,-1),(3,4,5),(2,6,7)] and its inverse is denoted by A^(...

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  3. If A = [{:(1,0),(1,1):}] , then value of A^(-a) is

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  4. If A is a non-singular matrix of order 3, then |adj A| = |A|^(n) here ...

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  5. If A = [{:(2,4,5),(4,8,10),(-6,-12,-15):}]. Then rank of A is equal to...

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  6. If the area of triangle with vertices (2,-6), (5,4) and (k,4) is 35. T...

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  7. Delta =|(1+a^2+a^4,1+ab+a^2b^2, 1+ac+a^2c^2), (1+ab+a^2b^2, 1+b^2+b^4,...

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  8. The rank of the matrix [{:(-1,2,5),(2,-4,a-4),(1,-2,a+1):}] is

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  9. If y = |{:(sin x , cos x , sin x),(cos x,-sin x, cos x),(x, 1, 1):}|, ...

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  10. Consider the system of linear equations a(1)x+b(1)y+ c(1)z+d(1)=0, ...

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  11. " If " Delta(1) =|{:(x,,b,,b),(a,,x,,b),(a,,a,,x):}|" and " Delta(2)...

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  12. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

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  13. If the system of equations x – ky – z = 0, kx – y – z=0, x + y – z = 0...

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  14. If the system of linear equations x + 2ay + az = 0 x + 3by + bz = ...

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  15. If the system of equations, a^(2) x - ay = 1 - a and bx + (3-2b) y = 3...

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  16. Consider the system of equations : x + ay = 0, y + az = 0 and z + ax=0...

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  17. The system of linear equations x + y + z = 2 2x + y -z = 3 3x + ...

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  18. if the system of equation ax+y+z=0, x+by=z=0,and x+y+cz=0 (a,b,c!=1) h...

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  19. If the system of linear equations x + 2ay + az = 0 x + 3by + bz = ...

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  20. The system of equations alpha x + y + z = alpha - 1 x + alpha y + =...

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