On Unique-Factorization Combinatorics via the Pascal Triangle

by Frank C. Fung ( 1st published in October, 2012. )

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Section XVIII - Creating the 10 x 10 [ ALPHA Matrix ]

Summary for the Section :

• In this Section , we shall create the 10 x 10 matrix [ ALPHA Matrix ] .

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Creating the [ ALPHA Matrix ] :

• Let us bring-in the 11 x 11 [ PASCAL Matrix ] from the last Section and :
  • mark-off the 10 x 10 area we shall be duplicating for 10 x 10 [ ALPHA Matrix ] ,
    • as per the diagram on-the-right below .

  

• We then create the 10 x 10 [ ALPHA Matrix ] ,
  • as per the diagram on-the-left below .

  

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What is the [ ALPHA Matrix ] :

• Let us just state here that :
  • Each row of [ ALPHA Matrix ] simply duplicates
    • the corresponding row in the Pascal Triangle .

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go to the next section : Section XIX - Creating the 10 x 10 [ ETA Matrix ]

go to the last section : Section XVII- Creating the 11 x 11 [ PASCAL Matrix ]

return to the Unique-Factorization Combinatorics HomePage

Original dated 2012-10-08