Home
Class 12
MATHS
If rho (A) ne rho ([A|B]), then the syst...

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

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (IV. Choose the odd man out : )|5 Videos

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (V. Choose the incorrect answer :)|5 Videos

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (1 MARK)|15 Videos

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise 5 MARKS|7 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|35 Videos

Similar Questions

Explore conceptually related problems

Given rho(A,B)nerho(A)lt number of unknowns, then the system has. …………….

The radii of two planets are respectively R_(1) and R_(2) their densities are respectively rho_(1) andrho_(2) the ratio of the accelerations due to gravity at their surface is .............

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

  • 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) = 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

    • Similar Questions

    Explore conceptually related problems

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

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

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

    If Delta ne 0 then the system is ............... .

    If rho (A) =r then which of the following is correct?

    Home
    Profile