Last Updated：2025/12/30
Sentence
An
echelon
matrix
is
a
matrix,
not
necessarily
square,
with
the
following
two
properties:
(i)
There
is
at
least
one
non-zero
entry;
rows
consisting
entirely
of
zeros,
if
any,
lie
below
rows
with
at
least
one
non-zero
entry.
(ii)
In
each
non-zero
row
after
the
first,
the
left-most
non-zero
entry
lies
to
the
right
of
the
left-most
non-zero
entry
in
the
preceding
row.
[…]
In
each
of
the
non-zero
rows
of
an
echelon
matrix,
the
left-most
non-zero
entry
is
called
the
pivot,
[…]
Quizzes for review
An echelon matrix is a matrix, not necessarily square, with the following two properties: (i) There is at least one non-zero entry; rows consisting entirely of zeros, if any, lie below rows with at least one non-zero entry. (ii) In each non-zero row after the first, the left-most non-zero entry lies to the right of the left-most non-zero entry in the preceding row. […] In each of the non-zero rows of an echelon matrix, the left-most non-zero entry is called the pivot, […]
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