This part of the course extends the concept of inverse functions to the case where y = f(x) with y = (y_{1}, y_{2}, …, y_{n}) and x = (x_{1}, x_{2}, …, x_{n}). In more user-friendly terms this part asks us to determine when and how the system of equations that expresses y_{1}, y_{2}, … and y_{n} as functions of x_{1}, x_{2}, and x_{n} can be “inverted” to express x_{1}, x_{2}, and x_{n} as functions of y_{1}, y_{2}, … and y_{n} . This motivates the study of matrix algebra since the process of inverting an n x n square matrix is used to show how we decide whether a function f(x_{1}, x_{2}, …, x_{n}) has an inverse and how we find the inverse function if it exists.

## Part IV: Matrix Algebra

## Course Info

##### Instructor

##### Departments

##### As Taught In

Fall
2011

##### Level

##### Learning Resource Types

*theaters*Lecture Videos

*notes*Lecture Notes

*assignment_turned_in*Problem Sets with Solutions