row space and column space
DESCRIPTION
Row Space and Column Space. Row Space and Column Space. Example. Row Space. [2 1 3]. [1 1 1]. Row Space. [2 1 3]. [1 1 1]. Column Space. Column Space. [3 1] T. [2 1] T. [1 1] T. Null Space. Example. Row Space. [2 1 3]. [-2 1 1] T. Row Space. [2 1 3]. [-2 1 1] T. - PowerPoint PPT PresentationTRANSCRIPT
Row Space and Column Space
Row Space and Column Space
Example
Row Space
[1 1 1]
[2 1 3]
Row Space
[1 1 1]
[2 1 3]
Column Space
Column Space
[1 1]T
[3 1]T
[2 1]T
Null Space
Example
Row Space
[-2 1 1]T
[2 1 3]
Row Space
[-2 1 1]T
[2 1 3]
Effects of Row Operations
Theorem
Theorem
Example
Theorem
Rank
Nullity
The Rank-Nullity Theorem
The Consistency Theorem
Theorem
Solution Set
x0
v1
v2
Theorem