Week 2
Matrix manipulation: Gaussian elimination, systems of equations and matrix inverses
2.1: Matrices and systems of linear equations
Gaussian elimination is an essential technique for solving systems of linear equations.
These notes cover how to represent systems of equations using matrices, perform row operations to simplify matrices to RREF, and ultimately solve systems of linear equations.
The inverse of a square matrix is a critical concept in linear algebra, allowing you to solve systems of equations by reversing matrix multiplication.
These notes explain how to calculate the inverse of matrices, particularly focusing on the process for 2×2 matrices using a simple formula, and more complex matrices using Gaussian elimination.
2.2: Inverse of a square matrix
Recitation Slides
Attend recitation! But in case you were staying up late the night before or you’re looking to last-minute study cram, here are Week 2 recitation slides and solutions!
Ryann Joseph 