trustle > EngliSea > M > math > 32 Linear Algebra

Summary of linear algebra
http://qindex.info/i.php?f=5093#3808

01 Vectors, what even are they?
The fundamental, root-of-it-all building block of linear algebra is the vector, so it's worth making sure that we're all on the same page about what exactly a vector is.
http://qindex.info/i.php?f=5093#5094

02 Linear combinations, span and basis vectors
Linear combinations, span, and basis vectors | Essence of linear algebra, chapter 2
http://qindex.info/i.php?f=5093#5179

03 Linear transformations and matrices
Linear transformations and matrices | Essence of linear algebra, chapter 3
http://qindex.info/i.php?f=5093#5180

04 Matrix multiplication as composition
Matrix multiplication as composition | Essence of linear algebra, chapter 4
http://qindex.info/i.php?f=5093#5181

07 How to organize, add and multiply matrices
By now, I'm sure that in just anything you do in your life, you need numbers. In particular, though some fields don't just need a few numbers, they need lots of them. How do you keep track of those numbers?
http://qindex.info/i.php?f=5093#5195

12.1 Vectors in the Plane Part 1
12.1 Vectors in the Plane Part 1
http://qindex.info/i.php?f=5093#5116

12.1 Vectors in the Plane Part 2
12.1 Vectors in the Plane Part 2
http://qindex.info/i.php?f=5093#5278

12.2 Vectors in Three Dimensions
12.2 Vectors in Three Dimensions
http://qindex.info/i.php?f=5093#5285

12.2 Vectors In Three Dimensions 12.2.75
12.2 Vectors In Three Dimensions 12.2.75
http://qindex.info/i.php?f=5093#5286

12.3 Dot Product Part 1
Given two nonzero vectors in two or three dimensions, their dot product is the product of the magnitudes times cosine of the angle between the two vectors.
http://qindex.info/i.php?f=5093#5287

12.3 Dot Product Part 2
12.3 Dot Product Part 2
http://qindex.info/i.php?f=5093#5289

12.4 Cross Product Part 1
Given two nonzero vectors in two or three dimensions, their cross product is a vector with magnitude equal to the product of the magnitudes of the vectors times the sine of the angle between the vectors and direction perpendicular to the vectors.
http://qindex.info/i.php?f=5093#5290

12.4 Cross Product Part 2
12.4 Cross Product Part 2
http://qindex.info/i.php?f=5093#5292

12.5 Lines and Curves in Space Part 1
12.5 Lines and Curves in Space Part 1
http://qindex.info/i.php?f=5093#5323

12.5 Lines and Curves in Space Part 2
12.5 Lines and Curves in Space Part 2
http://qindex.info/i.php?f=5093#5324

Linda Misener
2018-09-01 01:12
http://qindex.info/i.php?f=5093#5284

What is a Vector Space? (Abstract Algebra)
What is a Vector Space? (Abstract Algebra)
http://qindex.info/i.php?f=5093#5206

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