For which three numbers k does elimination break down? Which is fixed by a row exchange? In each case, is the number of solutions 0 or 1 or \infty∞? kx + 3y = 6 3x +ky = -6.

College Algebra (MindTap Course List)
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Chapter6: Linear Systems
Section6.1: Systems Of Linear Equations
Problem 100E: Write a system of three equations in three variables with an infinite number of solutions.
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For which three numbers k does elimination break down? Which is fixed by a row exchange? In each case, is the number of solutions 0 or 1 or \infty∞?

kx + 3y = 6

3x +ky = -6.

 

 

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