Matrix A.X = 0 

1) Row reduction, row-echelon form and reduced row-echelon form


2) Rank of Matrix = Rank (A)

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Darcy Lecture 5 ~ 9: Applied Algebraic Topology

[Revision – Lecture 1 ~4: Foundation of Applied Algebraic Topology

Lecture 6: Creating Simplicial Complex]

Lecture 5: 4/9/2013 (三)  Clustering Via Persistent Homology

Lecture 7: 6/9/2013 (五) Calculating Homology using matrix

Lecture 8: Column Space and Null Space of a matrix



Lecture 9: 9/9/2013 (一)  Create your own Homology: (Important lecture in Applied Algebraic Topology)

Ref:
http://slideplayer.com/slide/9473277/