36 episodes

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

# Linear Algebra MIT

• Education

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

• video
Lecture 01: The Geometry of Linear Equations

## Lecture 01: The Geometry of Linear Equations

• 2 sec
• video
Lecture 02: Elimination with Matrices

## Lecture 02: Elimination with Matrices

• 2 sec
• video
Lecture 03: Multiplication and Inverse Matrices

## Lecture 03: Multiplication and Inverse Matrices

• 2 sec
• video
Lecture 04: Factorization into A = LU

## Lecture 04: Factorization into A = LU

• 2 sec
• video
Lecture 05: Transposes, Permutations, Spaces R^n

## Lecture 05: Transposes, Permutations, Spaces R^n

• 2 sec
• video
Lecture 06: Column Space and Nullspace

• 2 sec

## Customer Reviews

4.6 out of 5
191 Ratings

191 Ratings

roro5179 ,

### Excellent

Blown away by Professor strang. When he teaches nothing feels complicated but the summation of his teachings is impressive. Arguably the greatest teacher I have ever learned from. I have thoroughly enjoyed the first 15 lectures and will continue to do so. Hope others out there experience the same joy I did.

Shahriar Nasseri ,

### Gauss-Jordan eliminations

AA-1 = I
E[A I] = [I A-1]
[1 3;27|1 0;01] —> [0 1;10|7-3|-21]—> [I A] = E [I A-1]

Critical monkey ,

### Fantastic course

A very talented professor who teaches the complex material of linear algebra in a comprehensive yet intuitive manner! Amazing!