Last Updated：2022/12/24
When an elementary matrix multiplies a square matrix from the left, it applies to that matrix an elementary row operation homologous to the one that created its own self. (Likewise, when an elementary matrix multiplies a square matrix from the right, it applies to that matrix an elementary column operation homologous to the one that created its own self.)
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When
an
elementary
matrix
multiplies
a
square
matrix
from
the
left,
it
applies
to
that
matrix
an
elementary
row
operation
homologous
to
the
one
that
created
its
own
self.
(Likewise,
when
an
elementary
matrix
multiplies
a
square
matrix
from
the
right,
it
applies
to
that
matrix
an
elementary
column
operation
homologous
to
the
one
that
created
its
own
self.)
