3.1-3.3

# 3.1-3.3 - 1 Math 110 Homework 7 Partial Solutions If you...

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1 Math 110 Homework 7 Partial Solutions If you have any questions about these solutions, or about any problem not solved, please ask via email or in oﬃce hours, etc. 3.1.4 This is a sketch of the ideas: The elementary matrix that represents switching rows i and j is the same as the elementary matrix that repre- sents switching columns i and j . The elementary matrix that represents multiplying row i by c 6 = 0 is the same as the elementary matrix that represents multiplying column i by c 6 = 0. The elementary matrix that represents adding c times row i to row j is the same as the elementary matrix that represents adding c times column j to column i . 3.1.5 If E is elementary, then it can be obtained by performing an elemen- tary row operation to I n . Then E t can be obtained by performing the corresponding column operation to I n and thus is also elementary. By the same argument, if E t is an elementary matrix, so is E .

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3.1-3.3 - 1 Math 110 Homework 7 Partial Solutions If you...

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