IIRF Online > Teaching & Academics > Math > Linear Algebra > DelftX: Linear Algebra I: Vectors and Linear Equations
DelftX: Linear Algebra I: Vectors and Linear Equations by Edx
This course provides an overview of bachelor-level linear algebra. You will review all the concepts and practice and refresh the skills related to vectors and linear equations.
Course Highlights
- Apply the dot product and cross product.
- Describe lines, planes and their intersections.
- Solve systems of linear equations and describe the solution set.
- Decide whether vectors are linear dependent or not.
- Recognize linear subspaces, describe elements of linear subspaces using bases and coordinates.
- Calculate projections and orthogonal decompositions of vectors.
- Find least-square solutions of a system of linear equations and apply it to regression.
Skills you will learn!
Curriculum
4 Topics
calculating with vectors
the dot product
the cross product
lines and planes
3 Topics
systems of equations
solving systems of equations
structure of the solutions set
3 Topics
linear combinations
linear dependence
relations between concepts
4 Topics
What are linear subspaces?
basis and coordinates
dimension
the rank theorem
5 Topics
orthogonal sets
orthogonal projections
the Gram-Schmidt algorithm
orthogonal complements
transposition
3 Topics
"solving” an inconsistent system
normal equations
application to regression
DelftX: Linear Algebra I: Vectors and Linear Equations
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