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The linear system of equations 8x-3y-5z=...

The linear system of equations `8x-3y-5z=0 ,5x-8y+3z=0 and 3x+5y-8z=0`

A

only zero solution

B

only finite number of non-zero solutions

C

no non-zero solution

D

infinitely many non-zero solutions

Text Solution

Verified by Experts

The correct Answer is:
D
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MTG-WBJEE-MATRICES AND DETERMINANTS -WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : SINGLE OPTION CORRECT TYPE )
  1. Let I denote the 3xx3 identity matrix and P be a matrix obtained by re...

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  2. Let f(x) = 2x^(2) + 5x + 1 . If we write f(x) as f(x) = a (x + 1) (x ...

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  3. The value of lambda, such that the following system of equations has n...

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  4. If f(x) = |{:(1, x, x +1),(2x , x (x - 1), (x + 1)x),(3x(x - 1), x (x ...

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  5. If A and B are two matrices such that AB=B and BA=A , then A^2+B^2=

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  6. The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...

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  7. If omegais an imaginary cube root of unity, then the value of the det...

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  8. If x , y and z be greater than 1, then the value of |{:(1, log(x)y, l...

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  9. If A is a 3x3 matrix and B is its adjoint matrix the determinant of B ...

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  10. The linear system of equations 8x-3y-5z=0 ,5x-8y+3z=0 and 3x+5y-8z=0

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  11. Let A = [{:(x + 2, 3x),(3,x + 2):}], B = [{:(x , 0),(5 , x + 2):}]. Th...

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  12. The value of det A, where A=((1,costheta,0),(-costheta,1,costheta),(-1...

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  13. If |{:(- 1, 7 , 0),(2, 1, -3),(3, 4, 1):}| = A, then |{:(13, -11 , 5),...

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  14. If a^(r) = (cos 2 r pi + I sin 2 r pi )^(1//9) , then the value of |{:...

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  15. If Sr = |[2r,x,n(n+1)],[6r^2-1,y,n^2(2n+3)],[4r^3-2nr,z,n^3(n+1)]| the...

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  16. If the following three linear equations have a non-trivial solution , ...

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  17. Let A be a square matrix of order 3 whose all entries are 1 and let I(...

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  18. If M is any sauare matrix of order 3 over R and if M' be the transpose...

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  19. If A = ({:(5, 5x, x ),(0, x , 5x),(0, 0, 5):}) and |A^(2)| = 25 , the...

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  20. Let A and B be two square matrices of order 3 and AB = O(3) , where O(...

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