# Inverting matrices

12 videos

4 skills

Multiplying by the inverse of a matrix is the closest thing we have to matrix division. Like multiplying a regular number by its reciprocal to get 1, multiplying a matrix by its inverse gives us the identity matrix (1 could be thought of as the "identity scalar").
This tutorial will walk you through this sometimes involved process which will become bizarrely fun once you get the hang of it.

### Finding the determinant of a 2x2 matrix

VIDEO
1:10 minutes

Hint for finding the determinant of a 2x2 matrix

### Idea behind inverting a 2x2 matrix

VIDEO
14:14 minutes

What the inverse of a matrix is. Examples of inverting a 2x2 matrix.

### Matrices to solve a system of equations

VIDEO
16:33 minutes

Using the inverse of a matrix to solve a system of equations.

### Matrices to solve a vector combination problem

VIDEO
14:20 minutes

Using matrices to figure out if some combination of 2 vectors can create a 3rd vector

### Finding the determinant of a 3x3 matrix method 1

VIDEO
2:39 minutes

### Finding the determinant of a 3x3 matrix method 2

VIDEO
3:57 minutes

### Inverting 3x3 part 1: Calculating matrix of minors and cofactor matrix

VIDEO
8:47 minutes

Beginning our quest to invert a 3x3 matrix. We calculate the matrix of minors and the cofactor matrix.

### Inverting 3x3 part 2: Determinant and adjugate of a matrix

VIDEO
6:23 minutes

Finishing up our 3x3 matrix inversion

### Classic video on inverting a 3x3 matrix part 2

VIDEO
13:36 minutes

Using Gauss-Jordan elimination to invert a 3x3 matrix.