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If A=[a(ij)](mxxn) is a matrix of rank r...

If `A=[a_(ij)]_(mxxn)` is a matrix of rank r then

A

`r="min"{m,n}`

B

`r lt "min "{m,n}`

C

`r le" min"{m,n}`

D

none

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The correct Answer is:
C
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AAKASH SERIES-MATRICES -LINEAR EQUATIONS - EXERCISE - I
  1. The equations x+y+z=0,2x-y-3z=0,3x-5y+4z=0 have

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  2. If the system of equations 3x-2y+z=0, lamdax-14y+15z=0,x+2y-3z=0 have ...

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  3. If the system of equations 2x+3ky+(3k+4)z=0,x+(k+4)y+(4k+2)z=0,x+2(k+4...

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  4. If the system of equations 3x-2y+z=0, lamdax-14y+15z=0,x+2y-3z=0 have ...

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  5. If x ^(2) + y ^(2) + z ^(2)ne 0, x= cy + bz, y= az +cx, and z= bx + ay...

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  6. The number of Solutions of the system of equations 2x + y -z = 7, x - ...

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  7. For the equations x+2y+3z=1, 2x+y+3z=2, 5x+5y+9z=4

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  8. The equation x-y+2z=4,3x+y+4z=6, x+y+z=1 have

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  9. The equations x+4y-2z=3,3x+y+5z=7,2x+3y+z=5 have

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  10. The system of equations 2x+6y+11=0,6y-18z+1=0,6x+20y-6z+3=0

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  11. If the system of equations x+y+z=6, x+2y+lamdaz=0, x+2y+3z=10 has no s...

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  12. The system of equations 4x+y+2z=5, x-5y+3z=10, 9x-3y+7z=20 has

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  13. The rank of [(1,0),(0,0)] is

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  14. The rank of [(1,0,0),(0,1,0),(0,0,1)] is

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  15. The rank of [(1,-1,1),(1,1,-1),(-1,1,1)] is

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  16. Find the rank of the matrix [(1,4,-1),(2,3,0),(0,1,2)]

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  17. The rank of [(1,0,-4),(2,-1,-3)] is

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  18. If I(n) is the identity matrix of order n then the rank of I(n) is

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  19. If A=[a(ij)](mxxn) is a matrix of rank r then

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  20. If A be a matrix of rank r. Then rank of A^(T) is

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