MATH 1119 Lecture Notes - Lecture 1: Row Echelon Form, Augmented Matrix

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20 Sep 2015

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Math 1119 a tutorial #1 september 24, 2014: write the augmented matrix for the linear system x. 0: write the system of equations corresponding to the augmented matrix. If a matrix is not in row echelon form or reduced row echelon form, state the reason(s). 1 2 4 (a: consider the system of equations . Write down the augmented matrix for the system. Use gauss-jordan elimination to find the reduced row echelon form of the matrix. If so, give the solution(s) to the system. Interpret your results geometrically. x: use gauss-jordan elimination to determine the point of intersection of the lines 1 x.

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1. Put the following system of equations into an augmented matrix and perform row opera- tions to get the matrix into Row Reduced Echelon Form. Give your answer as r = ..., y = ...,2= .... Marks will be deducted if you leave your solution in matrix form! IF the system is inconsistent, it is sufficient to only Row Reduce, and then clearly state your findings [22 marks]. (a) 2.r + 3y - 2 1 + y +2 y - 22 = = = 4 3 -1 11 +262 +23 – 3.04 = 2.0 +6.02 + 3.03 - 24 = -X1 + 12 + 2.24 = ri +12 +13 + 3.04 = 1 Ti + 2x2 - 3.13 +224 = -3.01 - 672 +2.13 - 14 = 12 + 2.13 +2 = -Ii - 22 - 2.13 + 4.14 ܝܙ ܨܝܝ

MATH 1119 Lecture Notes - Lecture 1: Row Echelon Form, Augmented Matrix

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