Use Gaussian elimination to find the complete solution of the system, or show that no solution exists.
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College Algebra
- 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_forwardDetermine 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 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
- Find all values of for which the homogeneous system of linear equations has nontrivial solutions. (+2)x12x2+3x3=02x1+(1)x2+6x3=0x1+2x2+x3=0arrow_forwardIf a system of linear equations has infinitely many solutions, then the system is called _______. If a system of linear equations has no solutions, then the system is called ______.arrow_forward
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