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

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

Matrices

Solution:

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