Introduction to Linear Algebra by Coursera
Skills you will learn!
Curriculum
31 Topics
Welcome and introduction to Week 1
Geometric vectors - part 1
Geometric vectors - part 2
Hat notation and parallel vectors
Position vectors and components
Linear independence for two vectors
Dot product of two vectors
Projections and orthogonal components
Cross products of two vectors - part 1
Cross products of two vectors - part 2
How to navigate this MOOC
Overview of assessments and activities
Geometric vectors - part 1
Geometric vectors - part 2
Hat notation and parallel vectors
Position vectors and components
Linear independence for two vectors
Dot product of two vectors
Projections and orthogonal components
Cross products of two vectors - part 1
Cross products of two vectors - part 2
Geometric vectors - part 1
Geometric vectors - part 2
Hat notation and parallel vectors
Position vectors and components
Linear independence for two vectors
Dot product of two vectors
Projections and orthogonal components
Cross products of two vectors - part 1
Cross products of two vectors - part 2
Week 1 - Geometric vectors in the plane and in space
21 Topics
Introduction to Week 2
Lines in space - part 1
Lines in space - part 2
Planes in space
Systems of linear equations (a)
Systems of linear equations (b)
Modular arithmetic
Mixing arithmetics
Lines in space - part 1
Lines in space - part 2
Planes in space
Systems of linear equations
Modular arithmetic
Mixing arithmetics
Lines in space - part 1
Lines in space - part 2
Planes in space
Systems of linear equations
Modular arithmetic
Mixing arithmetics
Week 2 - Lines and planes in space and systems of linear equations
21 Topics
Introduction to Week 3
Matrix addition and scalar multiplication
Matrix multiplication (a)
Matrix multiplication (b)
Matrix operations continued (a)
Matrix operations continued (b)
Matrix inverses (a)
Matrix inverses (b)
Determinants (a)
Determinants (b)
Determinants (c)
Matrix addition and scalar multiplication
Matrix multiplication
Matrix operations continued
Matrix inverses
Determinants
Matrix addition and scalar multiplication
Matrix multiplication
Matrix inverses
Determinants
Week 3 - Matric arithmetic and the theory of determinants
25 Topics
Introduction to Week 4
Eigenvalues and eigenvectors (a)
Eigenvalues and eigenvectors (b)
Finding eigenvectors (a)
Finding eigenvectors (b)
Diagonalisation (a)
Diagonalisation (b)
Introduction to stochastic matrices (a)
Introduction to stochastic matrices (b)
Introduction to linear transformations (a)
Introduction to linear transformations (b)
Introduction to linear transformations (c)
The fundamental theorem of algebra
Eigenvalues and eigenvectors
Finding eigenvectors
Diagonalisation
Introduction to stochastic matrices
Introduction to linear transformations
The fundamental theorem of algebra
Eigenvalues and eigenvectors
Finding eigenvectors
Diagonalisation
Introduction to stochastic matrices
Introduction to linear transformations
Week 4 - Eigentheory and diagonalisation
Introduction to Linear Algebra
Related Linear Algebra Courses
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