MATH UN1102 Lecture Notes - Lecture 15: Linear System, Row Echelon Form
18 Dec 2020
School
Department
Course
Professor
Document Summary
1 linearsystemt system of linear algebraic equations all terms are no derivatives are linear involved. T f i"s. ie7 try 132 26 x coefficientmatrix. 36 71 f z baok substitution or continue to eliminate. This example is selected from ancient chinese took. The method in europe stems from the notes of. The method was named as gauss elimination in 1950s after carl friedrich gauss as a result of confusion over the history of the subject. Scaling multiply a row by a nonzero constant. Replacement i replace a row bythe sum of itself and a multiple of another row. Two matrices are the other by elementary row operations row equivalent if we can get one from. 4 echelonforine nonzero row leadingentry the leftmost nonzero entry in a nonzerovow. All the nonzero rows are above zero rows. Each leading entry of a row is in a column to the right of the leading entry ofthe row above it.
