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If rho (A) = rho ([A/B]) = number of unk...

If `rho` (A) = `rho` ([A/B]) = number of unknowns, then the system is

A

consistent and has infinitely many solutions

B

consistent

C

inconsistent

D

consistent and has unique solution.

Text Solution

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The correct Answer is:
A, C, D
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Knowledge Check

  • In a homogeneous system if rho(A) =rho([A|0]) lt the number of unknowns then the system has………..

    A
    trivial solution
    B
    only non- trivial solution
    C
    no solution
    D
    trivial solutions and infinitely many non- trivial solutions

  • If rho (A) = rho ([A|B]), then the system AX = B of linear equations is

    A
    consistent and has a unique solution
    B
    consistent
    C
    consistent and has infinitely many solution
    D
    inconsistent

  • If rho (A) ne rho ([A|B]) , then the system is ………..

    A
    consistent and has infinitely many solutions
    B
    consistent and has a unique solution
    C
    consistent
    D
    inconsistent

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    If rho(A) = rho([A|B]) then the system AX =B of linear equations is

    In the system of liner equations with 3 unknowns if rho(A) =rho([A|B])=1 , the system has ……………..

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