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