Home
Class 11
MATHS
Solve the following system of equations....

Solve the following system of equations.
(a) By using Cramer's rule and Matrix inversion method, when the coefficient matrix is non - singular.
(b) By using Gauss-Jordan method, also determine whether the system has unique solution, or infinite number of solutions or solution and find the solution if exist.
`x+y+2z=1`
`2x+y+z=2`
`x+2y+2z=1`

Text Solution

Verified by Experts

The correct Answer is:
`x=1,y=0,z=0`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|51 Videos

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES -EXERCISE - I|47 Videos

  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.8 (Short Answer Questions)|5 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

Solve the following system of equations. (a) By using Cramer's rule and Matrix inversion method, when the coefficient matrix is non - singular. (b) By using Gauss-Jordan method, also determine whether the system has unique solution, or infinite number of solutions or solution and find the solution if exist. x+y+z=9 2x+5y+7z=52 2x+y-z=0

Solve the following system of equations. (a) By using Cramer's rule and Matrix inversion method, when the coefficient matrix is non - singular. (b) By using Gauss-Jordan method, also determine whether the system has unique solution, or infinite number of solutions or solution and find the solution if exist. 2x-y+3z=9 x+y+z=6 x-y+z-2

Solve the following system of equations. (a) By using Cramer's rule and Matrix inversion method, when the coefficient matrix is non - singular. (b) By using Gauss-Jordan method, also determine whether the system has unique solution, or infinite number of solutions or solution and find the solution if exist. 5x-6y+4z=15 7x+4y-3z=19 2x+y+6z=46

Solve the following system of equations. (a) By using Cramer's rule and Matrix inversion method, when the coefficient matrix is non - singular. (b) By using Gauss-Jordan method, also determine whether the system has unique solution, or infinite number of solutions or solution and find the solution if exist. 2x+6y+11=0 6x+20y-6z+3=0 6y-18z+1=0

Solve the following systems of equations. i) by using Cramer's rule and matrix inversion method, when the coefficient matrix is non-singular. ii) ' by using Gauss-Jordan method. Also determine whether the system has a unique solution or infinite number of solutions or no solution and find the solutions if exist. x + y +z=1 2x + 2y + 3z=6 x + 4y + 9z =3

solve the following system of equations by using Matrix inversion method. 2x-y+3z=9, x+y+z=6, x-y+z=2 .

Solve the following system of equations by using Cramer's rule. 2x-y+3z=9, x+y+z=6, x-y+z=2 .