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and for [[matrix multiplication]],
:{{nowrap|diag(''a''<sub>1</sub>, ..., ''a''<sub>''n''</sub>)}}
The diagonal matrix {{nowrap|diag(''a''<sub>1</sub>, ..., ''a''<sub>''n''</sub>)}} is [[invertible matrix|invertible]] [[if and only if]] the entries ''a''<sub>1</sub>, ..., ''a''<sub>''n''</sub> are all non-zero. In this case, we have
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