Home
Class 11
MATHS
Let AX=B be a system of n-linear equatio...

Let AX=B be a system of n-linear equations in n-unknowns ( in the usual notation ) such that A is a non singular matrix , then the system is consistent and has a unique solution given by

Answer

Step by step text solution for Let AX=B be a system of n-linear equations in n-unknowns ( in the usual notation ) such that A is a non singular matrix , then the system is consistent and has a unique solution given by by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Theorem 1: If A is a non-singular matrix; then the system of equations given by AX=B has the unique solution given by X=A^(-1)B

The system of equations AX=D has unique solution if

Knowledge Check

  • The system AX = B of n equation in n unknown has infinitely many solutions if

    A
    det A `ne0 `
    B
    ( adj A ) `B ne O`
    C
    det A = 0
    D
    (adj A) B= O

  • Let A be an mxxn matrix bsi R^m then the system of equations Ax=b has a solution if and only if

    A
    `bsi coloumn space of A`
    B
    `bsi rows space of A`
    C
    b=0
    D
    `rank [A,b] gt rank A`

  • Which of the following system of equations has unique solutions

    A
    `3x + 4y = 11, 6x + 8y = 15`
    B
    `x + 2y = 3, 2x + 4y = 7`
    C
    `x + 2y = 3, 3x + 4y = 7`
    D
    `4x + 3y = 5, 4x - 3y = 5`

    • Similar Questions

    Explore conceptually related problems

    Cramer's rule for system of n linear equations

    Solution of system of linear equations by matrix method

    if the system of equations has a non – trivial solution, then =

    A non-Homogeneous system of 3 equations in three unknowns AX=D has no solution, if

    Let AX = B be a system of n smultaneous linear equations with n unknowns. Statement -1 : If absA=0and (adjA)B ne 0 , the system is consistent with infinitely many solutions. Statement -2 : A (adjA)=absAI

    Home
    Profile