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  4. A square matrix A = [aij]n × n is called a lower triangular matrix if aij = 0 for

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Q. A square matrix $A = [a_{ij}]_{n \times n}$ is called a lower triangular matrix if $a_{ij} = 0$ for

Matrices

Solution:

$A = [a_{ij}]_{n \times n}$ is lower triangular iff all entries above the diagonal vanish, i.e., if $a_{ij} = 0$ for $i < j$.