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If A(i)= [(2^(-i),3^(-i)),(3^(-i),2^(-i)...

If `A_(i)= [(2^(-i),3^(-i)),(3^(-i),2^(-i))],then sum_(i=1)^(oo) det (A_(i))` is equal to

A

`(3)/(4)`

B

`(5)/(24)`

C

`(5)/(4)`

D

`(7)/(144)`

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The correct Answer is:
B
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ARIHANT MATHS-MATRICES -Exercise For Session 2
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  2. If A and B are symmetric matrices, then ABA is

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  3. if A and B are symmetric matrices of the same order and P=AB+BA and Q...

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  4. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

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  5. If A is symmetric as well as skew-symmetric matrix, then A is

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  6. If A is square matrix order 3, then |(A - A')^2015| is

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  7. the maximum number of different elements requried to from a symmetric...

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  8. A and B are square matrices of order 3xx3 , A is an orthogonal matrix ...

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  9. the matrix A=[(i,1-2i),(-1-2i,0)], where I = sqrt-1, is

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  10. if A and B are square matrices of same order such that A = and B = B,...

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  11. if matrix A=(1)/sqrt2[(1,i),(-i,a)], i=sqrt-1 is unitary matrix, a is ...

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  12. If A is a 3x3 matrix and det (3A) = k {det(A)} , k is equal to

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  13. If A and B are square matrices of order 3 such that absA=-1,absB=3," t...

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  14. if A is a square matrix such that A^(2)=A, then det (A) is equal to

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  15. If I is a unit matrix of order 10, then the determinant of I is equal ...

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  16. If A(i)= [(2^(-i),3^(-i)),(3^(-i),2^(-i))],then sum(i=1)^(oo) det (A(i...

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  17. The number of values of x for which the matrix A=[(3-x,2,2),(2,4-x,1),...

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  18. For how many values of 'x' in the closed interval [-4,-1] is the matri...

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