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Linear Algebra With Polynomials - Wild Linear Algebra A
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- 1 CONTENT SUMMARY: pg 1: @ Linear algebra applied to polynomials; polynomials;
- 2 pg 2: @ a general polynomial; associated polynomial function; example;
- 3 pg 3: @ importance of polynomial functions;
- 4 pg 4: @ Interpolation;
- 5 pg 5: @12:23 finding a polynomial going through one point/two points; example; pg 6: @ example continued;
- 6 pg 7: @ example find the line through 2 points;
- 7 pg 8: @20:47 find the polynomial through 3 points; Vandermonde matrix @22:40 ; the pattern @;
- 8 pg 9: @ Regression statistics; looking for an approximate solution;
- 9 pg 10: @ Regression continued;
- 10 pg 11: @30:09 Linear regression; remark on the power of linear algebra @;
- 11 pg 12: @ Spaces; the connection between polynomials and linear algebra; operations; similarity of polynomials and vectors;
- 12 pg 13: @35:48 trying to say this object is like this object; mapping: start out with a polynomial and end up with a vector of coefficients @37:24 ; isomorphism; vector of coefficients; bijection @ ; …
- 13 pg 14: @ connection between functions and an abstract 3d vector space;
- 14 pg 15: @ Exercises19.1-3;
- 15 pg 16: @ Exercise 19.4; THANKS to EmptySpaceEnterprise
- 16 Introduction
- 17 A polynomial determines a polynomial function
- 18 Importance of polynomial functions
- 19 Interpolation
- 20 One point
- 21 Augmented matrix approach
- 22 Three points polynomial through
- 23 Regression
- 24 Linear regression
- 25 Polynomial spaces
- 26 Connection between functions and an abstract 3d vector space
