An Approach to Martix & Linear Algebra

by Frank C. Fung ( 1st published in November, 2004. )

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Section 9 : Summary & Concluding Remarks

Topic I - Summary for the paper :

In this paper, we were able to break-down a { linear mapping } relation into its component parts :

• the { Matrix RHO } , the { Matrix ALPHA } , & the { Matrix BETA } .

This facilitated :

• an analysis of the { Inverse } via { 4-Quadrant Diagrams } ;

• the development of the { eigen-blackhole } concept.

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Topic II - Concluding Remarks :

{ Matrix & Linear Algebra } has wildspread applications :

• in Engineering , the Physical Sciences, the Social Sciences, Mathematics ,

  among others.

We hope our presentation here have helped in some way.

Two (2) specific topics are left-out in this paper :

• the Characteristic Equation for the { eigen-values } , possibly leading onto { Algebriac Number } Theory ,

• the Stability Analysis for the { Linear Mapping } relation.

Both are beyond the current scope of this paper, given the limited resources and a time-line to finish { An Approach to the "I-CHING" } , the next paper which covers, among other topics, the { parity } & { non-parity } concepts.

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( on : Three-Body-Problem / Characteristics-Of-Numbers / Matrix-&-Linear-Algebra / the "I-CHING" )

original dated 2004-11-15