CMU 21-241 Matrices 3 Week Prep Course

About Course

This Matrices and Linear Algebra headstart program covers all the topics that Professor David Offner covered in the first 3 weeks of 21-241. This includes topics in linear algebra including Fields, Complex Numbers, Roots of Unity, Vectors, Vector Spaces, Bases, Matrices, Matrix Multiplication, Invertibility, Linear Transformations, Isomorphisms, Vector Subspaces, and the Rank-Nullity Theorem. Shiv will also go over practice problems on how to apply knowledge learned from studying these concepts.

Course Content

21-241 Lesson 1: Fields, Complex Numbers, and Roots of Unity
This lecture focuses on fields in mathematics, complex numbers, and solving for the roots of unity.

Lesson 1: Fields, Complex Numbers, and Roots of Unity

01:00:42

21-241 Lesson 2: Vectors, Vector Spaces, and Bases
This lecture covers the basics of working with vectors in linear algebra, defining vector spaces, and bases.

21-241 Lesson 3: Matrices, Matrix Multiplication, Invertibility, and Linear Transformations
This lecture primarily focuses on matrices, matrix operations, and linear transformations.

21-241 Lesson 4: Isomorphisms, Vector Subspaces, and the Rank-Nullity Theorem
This lecture covers isomorphisms, vector subspaces, and the Rank-Nullity Theorem.

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About Course

What Will You Learn?

Course Content

21-241 Lesson 1: Fields, Complex Numbers, and Roots of Unity
This lecture focuses on fields in mathematics, complex numbers, and solving for the roots of unity.

Lesson 1: Fields, Complex Numbers, and Roots of Unity

21-241 Lesson 2: Vectors, Vector Spaces, and Bases
This lecture covers the basics of working with vectors in linear algebra, defining vector spaces, and bases.

Lesson 2: Vectors, Vector Spaces, and Bases

21-241 Lesson 3: Matrices, Matrix Multiplication, Invertibility, and Linear Transformations
This lecture primarily focuses on matrices, matrix operations, and linear transformations.

Lesson 3: Matrices, Matrix Multiplication, Invertibility, and Linear Transformations

21-241 Lesson 4: Isomorphisms, Vector Subspaces, and the Rank-Nullity Theorem
This lecture covers isomorphisms, vector subspaces, and the Rank-Nullity Theorem.

Lesson 4: Isomorphisms, Vector Subspaces, and the Rank-Nullity Theorem

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About Course

What Will You Learn?

Course Content

21-241 Lesson 1: Fields, Complex Numbers, and Roots of Unity This lecture focuses on fields in mathematics, complex numbers, and solving for the roots of unity.

Lesson 1: Fields, Complex Numbers, and Roots of Unity

21-241 Lesson 2: Vectors, Vector Spaces, and Bases This lecture covers the basics of working with vectors in linear algebra, defining vector spaces, and bases.

Lesson 2: Vectors, Vector Spaces, and Bases

21-241 Lesson 3: Matrices, Matrix Multiplication, Invertibility, and Linear Transformations This lecture primarily focuses on matrices, matrix operations, and linear transformations.

Lesson 3: Matrices, Matrix Multiplication, Invertibility, and Linear Transformations

21-241 Lesson 4: Isomorphisms, Vector Subspaces, and the Rank-Nullity Theorem This lecture covers isomorphisms, vector subspaces, and the Rank-Nullity Theorem.

Lesson 4: Isomorphisms, Vector Subspaces, and the Rank-Nullity Theorem

Student Ratings & Reviews

Support

21-241 Lesson 1: Fields, Complex Numbers, and Roots of Unity
This lecture focuses on fields in mathematics, complex numbers, and solving for the roots of unity.

21-241 Lesson 2: Vectors, Vector Spaces, and Bases
This lecture covers the basics of working with vectors in linear algebra, defining vector spaces, and bases.

21-241 Lesson 3: Matrices, Matrix Multiplication, Invertibility, and Linear Transformations
This lecture primarily focuses on matrices, matrix operations, and linear transformations.

21-241 Lesson 4: Isomorphisms, Vector Subspaces, and the Rank-Nullity Theorem
This lecture covers isomorphisms, vector subspaces, and the Rank-Nullity Theorem.