Все публикации

0:08:56

Math 2.11.6. Gauss-Jordan elimination and determinants

0:02:26

Math 2.11.7. Determinant and effect of Gauss-Jordan elimination

0:03:54

Math 2.11.10 proof of det(AB)=det(A).det(B)

0:03:17

Math 2.11.9: Theorem det(AB)=det(A).det(B) and corollaries

0:09:25

Math 2.11.11. Laplace expansion of det(A)

0:07:02

Math 2.11.12. Cramer's Rule for solving linear systems, application

0:08:14

Math 2.11.14. Determinant of transformation matrix as expansion factor

0:03:01

Math 2.11.13 Cramer's rule, proof using linearity of det(A)

0:02:46

Math 2.11.4. Determinant properties, row and column linearity

0:09:20

Math 2.11.3: Determinants examples for stylized cases

0:07:10

Math 2.11.1: Definition of det(A) where A is 3x3 matrix

0:10:52

Math 2.11.2. Definition det(A) for general nxn matrix A

0:04:30

Math 2.10.4: Transformation matrix, different bases

0:05:34

Math 2.10.5: Change of basis, formally

0:04:52

Math 2.10.6: Example change of basis, calculations

0:03:44

Math 2.10.8: Matrix describing change of arbitrary (non-standard unit) bases

0:04:16

Math 2.10.1. Coordinates with respect to basis

0:04:47

Math 2.10.7: Example change of basis, projection

0:03:20

Math 2.10.3: Coordinates examples

0:04:24

Math 2.10.2. Properties of coordinates, algebra

0:06:41

Math 2.9.6: Span linear (in)dependence and dimension, proof theorem 2.9.5

0:04:07

Math 2.9.8. Rank nullity theorem

0:07:37

Math 2.9.7: Example dimension ker(A)

0:03:41

Math 2.9.2: Number of elements needed for span