## Determine When the Given Matrix Invertible

## Problem 101

For which choice(s) of the constant $k$ is the following matrix invertible?

\[A=\begin{bmatrix}

1 & 1 & 1 \\

1 &2 &k \\

1 & 4 & k^2

\end{bmatrix}.\]

(*Johns Hopkins University, Linear Algebra Exam*)

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