A square matrix in which all the entries above the leading diagonal are zero is called a _________.

Row Matrix

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Upper triangular matrix

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Diagonal Matrix

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Lower triangular matrix

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Solution

The correct option is D
Lower triangular matrix

A square matrix in which all the entries above the leading diagonal are zero is called a Lower triangular matrix
The shape formed by elements of the matrics will be in a triangular pattern

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⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 0 & 0 0 & 2 & 0 & 0 0 & 0 & 3 & 0 \end{matrix} ⎤ ⎥ ⎦

A = (a_{i j})_{m \times m}

a_{i j} = 0 \forall i \neq j,

⎡ ⎢ ⎣ \begin{matrix} a & 0 & 0 & 0 0 & b & 0 & 0 0 & 0 & c & 0 \end{matrix} ⎤ ⎥ ⎦

A [a_{i j}]

a_{i j} = 0

i \neq j

A

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