Applying Matrix Multiplication: Solving Systems of Equations

Here you'll learn how to use matrix multiplication to solve systems of equations that come up in a wide range of fields. The general methods can be extrapolated to find solutions to many other equational forms (remember the golden rule: if you imagine a good reason to perceive the transformation as linear, you can use matrix multiplication and Matlab to solve it!)

Task

Download the program Solve_System_Of_Equations and follow the instructions at the end of the video to modify the variables V_vector and F_vector to represent the following system of equations:

When modifying V_vector, additional equations go in additional columns. Additional variables go in new rows (i.e. each column has an additional row where the new variable is represented).

When modifying F_vector, the results from additional equations go in additional columns.

No changes needed when working with complex or real numbers: the transformations are identical and the outcome will automatically correspond to what you input.