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Let f(x)=(1+x)/(1-x) . If A is matrix fo...

Let `f(x)=(1+x)/(1-x)` . If `A` is matrix for which `A^3=0`,then `f(A)` is (a) `I+A+A^2` (b) `I+2A+2A^2` (c) `I-A-A^2` (d) none of these

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CENGAGE PUBLICATION-MATRICES-All Questions
  1. If A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]], find the values of al...

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  2. Let a and b be two real numbers such that a > 1, b >1. If A=((a,0),(0,...

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  3. Let f(x)=(1+x)/(1-x) . If A is matrix for which A^3=0,then f(A) is (a)...

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  4. A and B are square matrices and A is non-singular matrix, then (A^(-1)...

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  5. If A is a singular matrix, then adj A is

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  6. The inverse of a diagonal matrix is a. a diagonal matrix              ...

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  7. If P is non-singular matrix, then value of adj(P^(-1)) in terms of P i...

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  8. If adjB=A ,|P|=|Q|=1, then. adj(Q^(-1)B P^(-1)) is a.P Q b. Q A P c...

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  9. If A is non-singular and (A-2I)(A-4I)=0 , then ,1/6A+4/3A^(-1) is equa...

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  10. If A(alpha,beta)=[[cosalpha,sinalpha,0],[-sinalpha,cosalpha,0],[ 0, 0,...

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  11. If A and B are two square matrices such that B=-A^(-1)B A ,t h e n(A+B...

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  12. A=[(1,tan x),(-tan x,1)] and f(x) is defined as f(x)= det. (A^(T)A^(-1...

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  13. The equation [[1, 2 ,2 ],[1 ,3, 4],[ 2, 4,k]][(x) ,(y), (z)] =[(0),(0)...

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  14. If D(1) and D(2) are two 3xx3 diagonal matrices, then which of the fol...

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  15. If Aa n dB are symmetric and commute, then which of the following is/a...

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  16. If C is skew-symmetric matrix of order n and X is nxx1 column matrix, ...

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  17. Show that abs((a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,0):}=0 ...

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  18. Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equatio...

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  19. Let A=a0 be a matrix of order 3, where a(i j)=x ; ifi=j ,x in R, 1 if...

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  20. A skew-symmetric matrix A satisfies the relation A^2+I=O ,w h e r e , ...

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