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pg 13: @ Proposition: If 2 matrices are invertible then so is their product, and the inverse of the product is equal to the product of their inverses rearranged; proof;
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Inverting 3x3 Matrices - Wild Linear Algebra A | NJ Wildberger
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- 1 CONTENT SUMMARY: pg 1: @ How to invert the change in coordinates; 3x3 matrix; 2x2 review;
- 2 pg 2: @ importance of the determinant; determinant relation to tri-vectors;
- 3 pg 3: @ different ways of obtaining the determinant;
- 4 pg 4: @ solving the 3x3 linear system;
- 5 pg 5: @ solving the system continued;
- 6 pg 6: @ 3x3 inversion theorem derived;
- 7 pg 7: @ notation to help remember the 3x3 inversion formula; definition of the minor of a matrix;
- 8 pg 8: @ Definition of the adjoint of a matrix; relationship of the inverse, determinant and adjoint of a matrix;
- 9 pg 9: @ examples; determination of the adjoint; determination of the inverse; matrix times its inverse; the identity matrix;
- 10 pg 10: @ example;
- 11 pg 11: @ 3x3 matrix operations;
- 12 pg 12: @ why the inverse law works; properties of a 3x3 matrix; an invertible matrix;
- 13 pg 13: @ Proposition: If 2 matrices are invertible then so is their product, and the inverse of the product is equal to the product of their inverses rearranged; proof;
- 14 pg 14: @ exercises 8.1:2 ;
- 15 pg 15: @ exercises 8.3:4 ; THANKS to EmptySpaceEnterprise
- 16 Introduction
- 17 importance of the determinant
- 18 different ways of obtaining the determinant
- 19 Theorem 3×3 inversion
- 20 Definition of the adjoint of a matrix
- 21 3×3 matrix operations
- 22 why the Inverse law works
- 23 Proposition
