YoVDO

Linear Algebra

Offered By: YouTube

Tags

Linear Algebra Courses Vectors Courses Linear Transformations Courses Systems of Linear Equations Courses Determinants Courses Eigenvalues Courses Eigenvectors Courses Matrix Multiplication Courses Subspaces Courses

Course Description

Overview

Dive into a comprehensive 7-hour course on Linear Algebra, covering essential topics from prelinear algebra to eigenvalues and eigenvectors. Master fundamental concepts such as Gauss-Jordan Elimination, matrix multiplication, vector operations, and subspaces. Explore advanced topics including linear transformations, determinants, orthogonal complements, and the Gram-Schmidt process. Learn practical applications like solving systems of equations, finding areas using determinants, and applying the least squares method. Develop a strong foundation in linear algebra through a structured curriculum that progresses from basic principles to complex mathematical concepts, preparing you for advanced studies in mathematics, engineering, and related fields.

Syllabus

Prelinear Algebra.
Linear Algebra.
Linear Algebra 2 : Gauss Jordan Elimination.
Linear Algebra 3 : Finding Number of Solutions.
Linear Algebra 4 : Multiplying Matrices.
Linear Algebra 5 : Elimination Matrix & Vectors.
Linear Algebra 6 : Vectors & Spans.
Linear Algebra 7 : Subspaces.
Linear Algebra 8 : Basis & Cauchy Schwarz Inequality.
Linear Algebra 9 : Plane Equations & Vector Triangle Inequality.
Linear Algebra 10 : Cross Product.
Linear Algebra 11: Null Space.
Linear Algebra 12 : Solving Ax = b.
Linear Algebra 13 : Linear Transformations.
Linear Algebra 14 : Magic Transformations.
Linear Algebra 15 : Rotate & Scale Vectors.
Linear Algebra 16 : Linear Transformation Projections.
Linear Algebra 17 : Determinants.
Linear Algebra 18 : Determinants & Systems of Equations.
Linear Algebra 19 : Find Area with Determinants.
Linear Algebra 20 : Transpose.
Linear Algebra 21 : 4 Fundamental Subspaces.
Linear Algebra 22 : Orthogonal Complements.
Linear Algebra 23 : Projections on Any Subspace.
Linear Algebra 24 : Least Squares Method.
Linear Algebra 25 : Change of Basis Matrix.
Linear Algebra 26 : Orthonormal Basis.
Linear Algebra 27 : Gram-Schmidt Process.
Linear Algebra 28 : Eigenvalues and Eigenvectors.
Linear Algebra 29 : Final Video.


Taught by

Derek Banas

Related Courses

Algèbre Linéaire (Partie 2)
École Polytechnique Fédérale de Lausanne via edX
Algèbre Linéaire (Partie 3)
École Polytechnique Fédérale de Lausanne via edX
Mécanique Lagrangienne
École Polytechnique Fédérale de Lausanne via Coursera
Eigenvectors and Eigenvalues
Udacity
Differential Equations: Linear Algebra and NxN Systems of Differential Equations
Massachusetts Institute of Technology via edX