Upper Triangular Matrix/Examples/Square Matrix
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Example of Upper Triangular Matrix
An upper triangular square matrix of order $n$:
- $\mathbf U = \begin{bmatrix}
a_{11} & a_{12} & a_{13} & \cdots & a_{1, n - 1} & a_{1n} \\
0 & a_{22} & a_{23} & \cdots & a_{2, n - 1} & a_{2n} \\ 0 & 0 & a_{33} & \cdots & a_{3, n - 1} & a_{3n} \\
\vdots & \vdots & \vdots & \ddots & \vdots & \vdots \\
0 & 0 & 0 & \cdots & a_{n - 1, n - 1} & a_{n - 1, n} \\ 0 & 0 & 0 & \cdots & 0 & a_{nn} \\
\end{bmatrix}$