MATH 232 Lecture : Math232_lecture05.pdf
23 Jan 2013
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We are going to illustrate it by actually doing it. The last matrix is said to be in row echelon form: all-zero rows at the bottom, any nonzero row starts with a leading one, leading ones occur further to the right as we move downward. Then clear the nonzero values above the pivot positions (backward phase) Depending on choices you make during gauss elimination, you might get di erent row ech- elon forms from the same starting matrix, but. There is only one reduced row echelon form you can get starting from a particular ma- trix, no matter what choices you make during the gauss-jordan elimination. 0 the last line represents the equation which means the system is inconsistent. 0 the last line represents the equation so we may ignore it for the purposes of nding solutions. But if someone asks you for the reduced row echelon form of.
