Define upper triangular matrix and lower triangular matrix.

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Solution

A square matrix in which all the elements below the principal diagonal are zero is called an upper triangular matrix.

Example: $⎡ ⎢ ⎣ \begin{matrix} 1 & 1 & 4 0 & - 6 & 3 0 & 0 & 45 \end{matrix} ⎤ ⎥ ⎦$

A square matrix in which all the elements above the principal diagonal are zero is called a lower triangular matrix.

Example: $⎡ ⎢ ⎣ \begin{matrix} 2 & 0 & 0 3 & 4 & 0 21 & - 2 & 87 \end{matrix} ⎤ ⎥ ⎦$

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