Practice Exercises
In Exercises 1-24, use Gaussian elimination to find the complete solution to each system of equations, or show that none exists.
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ALGEBRA+TRIGONOMETRY
- Use Gaussian elimination to find the complete solution of the system, or show that no solution exists. {2x3y+z=3x+2y+2z=14x+y+5z=4arrow_forwardConsider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the system have exactly one solution?arrow_forwardIn Exercises 23 and 24, solve the system of equations in Exercises 21 and 22 by using algebraic methods. Refer to Exercise 21. 4x-3y=-3 x+2y=13arrow_forward
- Determine the values of k such that the system of linear equations does not have a unique solution. x+y+kz=3x+ky+z=2kx+y+z=1arrow_forwardIn Exercises 3and4, use Gaussian elimination to solve the system of linear equations. 4x1+x23x3=112x13x2+2x3=9x1+x2+x3=3arrow_forwardIn Exercises 25-34, solve the given system of equations using either Gaussian or Gauss-Jordan elimination. 31.arrow_forward
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