Lower Triangular Matrix/Examples/Square Matrix

Example of Lower Triangular Matrix

An lower triangular square matrix of order $n$:

$\mathbf L = \begin{bmatrix}

    a_{1 1} &            0 &            0 & \cdots &                0 &            0 \\
    a_{2 1} &      a_{2 2} &            0 & \cdots &                0 &            0 \\
    a_{3 1} &      a_{3 2} &      a_{3 3} & \cdots &                0 &            0 \\
     \vdots &       \vdots &       \vdots & \ddots &           \vdots &       \vdots \\

a_{n - 1, 1} & a_{n - 1, 2} & a_{n - 1, 3} & \cdots & a_{n - 1, n - 1} & 0 \\

    a_{n 1} &      a_{n 2} &      a_{n 3} & \cdots &     a_{n, n - 1} &      a_{n n} \\

\end{bmatrix}$