how can i know the rank of a matrix ? and an augmented matrix? does it depend on the number if leading interies (number of pivot columns) or does it depend o the number of non-zero rows, and what is the difference when they say rank(A) = 4 or rank[A|B]=4 please explain me this because i feel so lost

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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how can i know the rank of a matrix ? and
an augmented matrix? does it depend on
the number if leading interies (number of
pivot columns) or does it depend o the
number of non-zero rows, and what is
the difference when they say rank(A) = 4
or rank[A|B]=4
please explain me this because i feel so
lost
Transcribed Image Text:how can i know the rank of a matrix ? and an augmented matrix? does it depend on the number if leading interies (number of pivot columns) or does it depend o the number of non-zero rows, and what is the difference when they say rank(A) = 4 or rank[A|B]=4 please explain me this because i feel so lost
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