# mockex3 - Math 4377, Linear Algebra, Review and Mock Third...

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Math 4377, Linear Algebra, Review and Mock Third Exam. Summer 2011, Dr. Min Ru, University of Houston This serves both for review and the mock exam. Warning : It did NOT cover ALL materials. You still NEED to read the book to have a FULL review. 1. Elementary row operations: from A to the reduced echelon form R : You should know how to reduce from A to R by performing the ele- mentary row operations. You should know how to ﬁnd elementary matrices E 1 ,...,E k such that E k ··· E 1 A = R . Practice (the matrix is taken on Page 155 of the text book): Let A = 0 2 4 2 2 4 4 4 8 0 8 2 0 10 2 6 3 2 9 1 . Find elementary matrices E 1 ,...,E k such that E k ··· E 1 A = R . You should know how to write A as A = E - 1 R by computing E - 1 where E = E k ··· E 1 . The row space, column sapce, the null-space of A , and their re- lationship between the row, column, null-space of A to those of R : The dimension of the row space is the rank r . The row space of

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## This note was uploaded on 02/21/2012 for the course MATH 4377 taught by Professor Staff during the Summer '08 term at University of Houston.

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mockex3 - Math 4377, Linear Algebra, Review and Mock Third...

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