MATH 240 Lecture Notes - Lecture 2: Row Echelon Form, Gaussian Elimination, Augmented Matrix

• School: University of Maryland
• Department: Mathematics
• Course: MATH 240
• Professor: Raluca Rosca

Document Summary

We are now going to apply some technique on matrixes in order to start the process of using them to solve linear systems. The first thing to know is row echelon form. A matrix is in reduced row echelon form if. 1 in the higher row: if a row contains a 1 as its first entry, all other entries are zero. Note: if a matrix satisfies conditions 1,2,3, it is said to be in row echelon form. [(cid:883) (cid:882) (cid:887) (cid:882) (cid:882) (cid:882)] (cid:882) (cid:883) (cid:884) Unfortunately, the 5 and the 2 prevent this matrix from being in reduced row echelon form. This matrix is in reduced row echelon form. [(cid:883) (cid:885) (cid:889) (cid:882)] (cid:882) (cid:882) (cid:882) (cid:882) (cid:882) Ok, so now we have all the tools we need in order to solve linear systems using matrices. There"s at least two steps we have to do depending on what approach we want to take.