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The number of 3xx3 matrices A whose entr...

The number of `3xx3` matrices `A` whose entries are either `0or1` and for which the system `A|[x], [y ],[z]|=|[1], [0],[0]|` has exactly two distinct solution is a. 0 b. `2^9-1` c. `168` d. `2`

A

0

B

`2^9-1`

C

168

D

2

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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE
  1. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  2. Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...

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  3. The number of 3xx3 matrices A whose entries are either 0or1 and for wh...

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  4. Given , 2x-y+2z=2, x-2y+z=-4, x+y+lambdaz=4, then the value of lam...

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  5. The number of values of k for which the system of the equations (k+1)x...

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  6. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

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  7. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

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  8. Let P=[(1,0,0),(3,1,0),(9,3,1)] and Q = [q(ij)] be two 3xx3 matrices s...

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  9. How many 3xx3 matrices M with entries from {0, 1, 2} are there, for wh...

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  10. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

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  11. Let M and N be two 3xx3 matrices such that MN=NM. Further, if M ne N^(...

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  12. Let omega be a complex cube root of unity with omega!=1a n dP=[p(i j)]...

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  13. the determinant |{:(a,,b,,aalpha+b),(b,,c,,balpha+c),(aalpha+b,,balpha...

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  14. Let M be a 2xx2 symmetric matrix with integer entries. Then , M is i...

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  15. If the adjoint of a 3 xx 3 matrix P is [{:(,1,4,4),(,2,1,7),(,1,1,3):}...

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  16. Let X \ a n d \ Y be two arbitrary, 3xx3 , non-zero, skew-symmetric ma...

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  17. Which of the following values of alpha satisfying the equation |(1+alp...

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  18. Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[...

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  19. Let alpha, lambda , mu in R.Consider the system of linear equations ...

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  20. Which of the following is(are) NOT of the square of a 3xx3 matrix with...

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