- #1

jberg074

- 8

- 0

For which values of k does the following system of equations have a) a unique solution, b) infinite solutions, and c) no solutions?

[ 1 0 3 | 0 ]

[ 0 1 1 | 1 ]

[ -1 1 k | k ]

I know that having a unique solution implies a linear independence, infinite solutions implies a dependence with consistency, and no solutions implies no consistency.

I have tried getting this matrix into REF, but this didn't help me get any closer to the solution. Any pointers as to where I should start?