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Let A = [(1,a),(0,1)] where a gt 0 . Sum...

Let A = `[(1,a),(0,1)]` where `a gt 0` . Sum of the series S = trace (A) + trace `((1)/(2)A)+ trace ((1)/(2^(2))A^(2)) +trace ((1)/(2^(3))A^(3)) + cdots ` is

A

3

B

4

C

6

D

8

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B
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MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. B -Architecture Entrance Examination Papers
  1. Let A = [(1,a),(0,1)] where a gt 0 . Sum of the series S = trace (A) +...

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  2. If A and B are square matrics of the same order then which one of the ...

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  3. Let A =[(1,1,0),(0,1,0),(0,0,1)] and let I denote the 3xx3 identity ma...

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  4. Let A and B be 2xx2 matrices with real entries . Let I be the 2xx2 ind...

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  5. Let A=[[a,b],[c,d]] be a 2xx2 real matrix. If A-alphaI is invertible f...

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  6. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

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  7. Let A=[(a,b),(c,d)]be a 2 xx 2 matrix, where a, b, c, d take value 0 t...

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  8. Let S be the set of all real matrices A = [(a,b),(c,d)] such that a+d ...

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  9. If S(n) denotes the sum of first n natural numbers.the [S(1)+S(2)x+S(3...

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  10. Let A = [(1,1),(0,1)] and B = [(b(1),b(2)),(b(3),b(4))] . If 10 A^(10...

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  11. If for a matrix A, absA=6and adj A={:[(1,-2,4),(4,1,1),(-1,k,0)]:}, th...

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  12. Let S be the set of all real values of a for which the following syste...

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  13. If A = ((2,52,152),(4,1-6,358),(6,162,620)) then the determinant of ad...

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  14. Let S be the set of all real values of lambda for which the system of ...

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  15. Ifthe equations a(y +z) =x,b(z+x) = y, c (x + y) = z have nontrivial...

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  16. If B = [(-2,-2),(-1,0)] and A is a matrix such that A^(-1) B = B^(-1) ...

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  17. Let [(3a,b,c),(b,3c,a),(c,a,3b)] be a 3xx3 matrix where a,b,c in R . I...

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  18. The value of a for which the system linear of equations x+ay+z=1 a...

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  19. Suppose A is a 2xx2 matrix for which A^(2)+A+I(2)=O(2) then det (adj (...

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  20. If the system of linear equations : x+4y-3z=2 2x+7y+4z=alpha -x-...

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  21. Let (a,b) be the solution of the system [(x,y)][(1,3),(5,1)]=[(2,1)]...

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