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Every homogeneous system ………….....

Every homogeneous system …………..

A

Is always consistent

B

Has only trivial solution

C

Has infinitely many solution

D

Need not be consistent

Text Solution

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The correct Answer is:
A, C
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Knowledge Check

  • In the non-homogeneous system of equations with 3 unknowns if rho (A) = rho([A|B]) =2, then the system has …………..

    A
    unique solution
    B
    one parameter family of solution
    C
    two parameter family of solutions
    D
    in consistent

  • 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

  • The mixtures are homogeneous irrespective of their physical state and such homogeneous mixtures are called as ___________

    A
    solvent
    B
    solute
    C
    solutions
    D
    mixtures

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