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If A={:[(3,2),(0,1)]:}" then:(A^(-1))^(3...

If `A={:[(3,2),(0,1)]:}" then:(A^(-1))^(3)=`

A

`(1)/(27) [{:(1,-26),(0,27):}]`

B

`(1)/(27) [{:(1,26),(0,27):}]`

C

`(1)/(26) [{:(1,-26),(0,-27):}]`

D

`(1)/(26) [{:(-1,-26),(0,-27):}]`

Text Solution

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The correct Answer is:
A
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DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
  1. If A = [{:(1,tan x),(-tanx,1):}] , then the value of |A' A^(-1)|

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  2. The matrix [(lamda,-1,4),(-3,0,1),(-1,1,2)] is invertible if

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  3. If A={:[(3,2),(0,1)]:}" then:(A^(-1))^(3)=

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  4. The matrix [(lamda,-1,4),(-3,0,1),(-1,1,2)] is invertible if

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  5. If A= [{:(1,0,3),(2,1,1),(0,0,2):}] , then the value of |adj(adj A) | ...

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  6. If A = [{:(0,-1,2),(2,-2,0):}], B = [{:(0,1),(1,0),(1,1):}] and M = AB...

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  7. If for AX=B, B=[[9], [52], [0]] and A^(-1)=[[3, -(1)/(2), -(1)/(2)], [...

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

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

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

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

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

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

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

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

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

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

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

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

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