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Let a and b be two real numbers such tha...

Let `a and b` be two real numbers such that `a > 1, b >1.` If `A=((a,0),(0,b)),` then `(lim)_(n->oo) A^-n` is (a) unit matrix (b) null matrix (c) `2I` (d) non of these

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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