Upper Triangular Matrix/Examples/m less than n
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Example of Upper Triangular Matrix
An upper triangular matrix of order $m \times n$ such that $m < n$:
- $\mathbf U = \begin{bmatrix}
a_{11} & a_{12} & a_{13} & \cdots & a_{1, m - 1} & a_{1m} & \cdots & a_{1, n - 1} & a_{1n} \\
0 & a_{22} & a_{23} & \cdots & a_{2, m - 1} & a_{2m} & \cdots & a_{2, n - 1} & a_{2n} \\ 0 & 0 & a_{33} & \cdots & a_{3, m - 1} & a_{3m} & \cdots & a_{3, n - 1} & a_{3n} \\
\vdots & \vdots & \vdots & \ddots & \vdots & \vdots & \ddots & \vdots & \vdots \\
0 & 0 & 0 & \cdots & a_{m - 1, m - 1} & a_{m - 1, m} & \cdots & a_{m - 1, n - 1} & a_{m - 1, n} \\ 0 & 0 & 0 & \cdots & 0 & a_{mm} & \cdots & a_{m, n - 1} & a_{mn} \\
\end{bmatrix}$