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- 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_forwardUse 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_forwardUse Cramers Rule to solve the system of linear equations for x and y. kx+(1k)y=1(1k)x+ky=3 For what values of k will the system be inconsistent?arrow_forward
- Consider 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_forwardFind if possible values of a,b, and c such that the system of linear equations has a no solution, b exactly one solution, and c infinitely many solutions. 2xy+z=ax+y+2z=b3y+3z=carrow_forward
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