December 2020
Intermediate to advanced
1064 pages
49h 13m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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8.3 Rank of a Matrix
INTRODUCTION
In a general m × n matrix,
,
the rows
u1 = (a11 a12 . . . a1n), u2 = (a21 a22 . . . a2n), . . . , um = (am1 am2 . . . amn)
and columns
are called the row vectors of A and the column vectors of A, respectively.
A Definition
As vectors, the set u1, u2, . . . , um is either linearly independent or linearly dependent. We have the following definition.
DEFINITION 8.3.1 Rank of a Matrix
The rank of an m × n matrix ...
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