Module: Gaussian Elimination

Learning Outcomes

Setup and Solve Linear Equations

• You understand linear combinations of (column) vectors can be represented as a matrix times the vector of coefficients
• You can set up a system of equations to check if a vector is a linear combination of other vectors
• You understand the Elimination algorithm to get to the Reduced Row Echelon Form
• You understand that you find a pivot in a column during Elimination iff the column is not a linear combination of prior columns
• You understand how Elimination can solve a set of equations
• You can figure out how many solutions a system of linear equations has
• You can implement Elimination using code

Readings

Experiential Learning