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Q. A sqare matrix $A\left[a_{ij}\right]_{_{_{n\times n}}}$ is called a diagonal matrix if $a_{ij}=0$ for

Matrices

Solution:

$A =\left[a_{ij}\right]_{_{_{n\times n}}}$ is a lower diagonal matrix iff all non-diagonal entries are $0$ i.e., $a_{ij} = 0$ for $i \ne j$