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20D - Homework Assignment 5 - UCSD …

Brian Bowers (TA for Hui Sun)MATH 20 DHomework Assignment 5 November 8, 201320D - Homework Assignment 5 First, I present the list of all matrix row operations. We use combinations of these steps to row reducematrices. Note that I will userito represent theith row of the matrix.(1)Swap:We are allowed to swap two entire rows of a matrix. [I will notate swapping rowsriandrjby ri rj .](2)Multiply:We are allowed to multiply any one row of a matrix by any nonzero scalar expression (like1, ,et t2+ 7, etc.) [I will notate multiplying rowribykas ri=kri .](3)Combine:Given two rowsriandrj, we are allowed to replaceriby (ri+krj) for any scalark. [I willnotate this as ri=ri+krj .]For our purposes, row reduction is the process of trying to get a matrix to have 1s along the diagonal and have 0s above and below the diagonal.

Brian Bowers (TA for Hui Sun) MATH 20D Homework Assignment 5 November 8, 2013 20D - Homework Assignment 5 First, I present the list of all matrix row operations.

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