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Unformatted text preview: MAT067 University of California, Davis Winter 2007 Homework Set 5: Exercises on Matrices and Linear Maps Directions : Please work on all problems! Hand in solutions to the Calculational Problems 1, 2(i,m,r), 5(a), 6(a) and the ProofWriting Problems 11 and 13 at the beginning of lecture on February 9, 2007. As usual, we are using F to denote either R or C . 1. Suppose that A , B , C , D , and E are matrices over F having the following sizes: A is 4 5 , B is 4 5 , C is 5 2 , D is 4 2 , E is 5 4 . Determine whether the following matrix expressions are defined, and, for those that are defined, determine the size of the resulting matrix. (a) BA (b) AC + D (c) AE + B (d) AB + B (e) E ( A + B ) (f) E ( AC ) 2. Suppose that A , B , C , D , and E are the following matrices: A = 3 0 1 2 1 1 , B = bracketleftbigg 4 1 2 bracketrightbigg , C = bracketleftbigg 1 4 2 3 1 5 bracketrightbigg , D = 1 5 2 1 0 1 3 2 4 , E = 6 1 3 1 1 2 4 1 3 . Determine whether the following matrix expressions are defined, and, for those that are defined, compute the resulting matrix....
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This homework help was uploaded on 04/08/2008 for the course MATH 67 taught by Professor Schilling during the Fall '07 term at UC Davis.
 Fall '07
 Schilling
 Linear Algebra, Algebra, Matrices

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