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Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1)...

Let `A=((1,0,0),(2,1,0),(3,2,1))`. If `u_(1)` and `u_(2)` are column matrices such that `Au_(1)=((1),(0),(0))` and `Au_(2)=((0),(1),(0))`, then `u_(1)+u_(2)` is equal to :

A

`[(-1),(1),(0)]`

B

`[(-1),(1),(-1)]`

C

`[(-1),(-1),(0)]`

D

`[(1),(-1),(-1)]`

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The correct Answer is:
D
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
  1. The number of values of k, for which the system of eauations: (k+1)x...

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  2. IF P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of 3xx3 matrix A and...

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  3. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

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  4. Let P and Q be 3xx3 matrices P ne Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2)P,...

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  5. The number of values of k for which the linear equations 4x+ky+2...

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  6. Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) a...

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  7. If the trivial solution is the only solution of the system of equation...

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  8. Statement-1:Determination of a skew-symmetric matrix of order 3 is zer...

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  9. If omega=1 is the complex cube root of unity and matrix H=|{:(,omega,0...

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  10. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

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  11. The number of 3 x 3 non-singular matrices, with four entries as 1 and ...

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  12. Let a be a 2xx2 matrix with non-zero entries and let A^(2)=I, where I ...

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  13. Let a,b,c be such that b(a+c) ne 0. If |{:(a,a+1,a-1),(-b,b+1,b-1)...

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

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  15. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identity...

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  16. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

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  17. Let A be a square matrix all of whose entries are integers. Which on...

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  18. If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

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  19. Let A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] . If |A^2|...

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  20. If A and B f are square matrices of size nxxn such that A^(2) - B^(2...

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