Rank & Nullity; How to Find a Basis for Null Space and Column Space [Passing Linear Algebra]

Описание к видео Rank & Nullity; How to Find a Basis for Null Space and Column Space [Passing Linear Algebra]

What is a Basis:    • What is a Basis for a Subspace? [Pass...  
What is Null Space:    • What is Null Space? Geometric Interpr...  

The Column Space of a matrix is the span of the columns of the matrix.
The Null Space of a matrix, A, is the collection of all x vectors that satisfy Ax=0.
Rank is the dimension of the column space
Nullity is the dimension of the null space
Rank of A + Nullity of A = number of columns of A

Video Guide:

How to find basis for Col(A): 0:55
How to find basis for Nul(A): 2:28
What is Rank and Nullity: 7:20
Rank/Nullity Theorem: 8:51

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