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Triangular Matrix Determinant
Find the value of the determinant of the matrix given by:
$$\begin{bmatrix}1&17&\pi^2&\frac{1}{251}&63\\0&-2&35&e^3&-1005\\0&0&2&47&\frac{1}{153}\\0&0&0&-1&5372\\0&0&0&0&-3\end{bmatrix}$$
Question
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Create Triangular Matrix
Find all real values of \(k\) so that the matrix \(A=\begin{bmatrix}2&0&0&k^2-1\\0&-1&0&0\\0&k+2&2&0\\0&0&0&k\end{bmatrix}\) is triangular.
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