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MATH 231

Linear Algebra

Ready when you are · 17 lessons

Start hereWhat Is Linear Algebra?The big picture: what the course studies, the 4 questions it answers, and 1 problem solved 3 ways.

Videos

Lynch, MATH 231 lecture playlists (YouTube)Recorded MATH 231 lectures at EWU. Use them to see each topic worked through in a full class session.

Week 1

Ready when you are · 2 lessons

What Is Linear Algebra?The big picture: what the course studies, the 4 questions it answers, and 1 problem solved 3 ways.Not started yet
Systems of Linear Equations and Row ReductionThe main tool of the course: solve any system of linear equations by row reduction.Not started yet

Week 2

Ready when you are · 4 lessons

Week 3

Ready when you are · 1 lesson

Linear Transformations and Their MatricesSee a matrix as a rule that moves every vector, and find the matrix of a rotation, a reflection, or a stretch.Not started yet

Week 4

Ready when you are · 2 lessons

Week 5

Ready when you are · 1 lesson

DeterminantsCompute 1 number that tells whether a square matrix is invertible and how much it scales area.Not started yet

Week 6

Ready when you are · 2 lessons

Week 7

Ready when you are · 2 lessons

Week 8

Ready when you are · 1 lesson

DiagonalizationWrite a matrix as PDP⁻¹ to compute its powers and see its long-run behavior.Not started yet

Week 9

Ready when you are · 1 lesson

Inner Products, Length, and OrthogonalityMeasure length, distance, and angle with the dot product, and test when 2 vectors are perpendicular.Not started yet

Week 10

Ready when you are · 1 lesson

Orthogonal Projections and the Gram-Schmidt ProcessFind the closest point in a subspace, and build an orthogonal basis with the Gram-Schmidt process.Not started yet

Skill map: every skill in every course as a connected graph.