Example of a Triangular Matrix

Concept Used

A triangular matrix is a square matrix in which either all elements below the main diagonal or all elements above the main diagonal are zero.

Example

\[ A = \begin{bmatrix} 1 & 2 & 3 \\ 0 & 5 & 4 \\ 0 & 0 & 6 \end{bmatrix} \]

Explanation

– All elements below the main diagonal are zero

– Therefore, it is an upper triangular matrix

Final Answer

\[ \begin{bmatrix} 1 & 2 & 3 \\ 0 & 5 & 4 \\ 0 & 0 & 6 \end{bmatrix} \]