1) Row reduction, row-echelon form and reduced row-echelon form
2) Rank of Matrix = Rank (A)
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)
This is a quick method to inverse a matrix using the analogy of determinant:
Sylvester, James Joseph
Cambridge, St John’s college. He coined the word ‘Matrix‘.
His private math tuition student was Florence Nightingale (Founder of Nursing), who later applied her statistics math in Nursing.