# For what values k is the system consistent?

where *k *is a number that we can vary. (Note that it is not an extended matrix).

a) For what values *k* is the system $Ax = \begin{bmatrix}-17\\34\end{bmatrix} $ consistent?

b) For what values *k *is the system $Ax = \begin{bmatrix}1\\34\end{bmatrix} $ consistent?

c) For what values *k* is the linear representation *T* *onto*?

d) For what values *k* is the linear representation *T* *one-to-one?*

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