232sol8

# 4 4x 2y z dr marni mishna department of mathematics

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Unformatted text preview: (x, y, z ) = ( 5x + 3y 2y + z ). z , 2x + y, 4x A3.(a). We determine whether T2 is one-to-one by examining its kernel. Now ker(T1 ) is the set of (x, y, z ) such that T1 (x, y, z ) = (0, 0, 0), i .e., x y z=0 x z=0 2y = 0. We can solve this homogeneous system by row reducing 2 3 1 1 10 41 0 1 05 . 02 00 reorder the rows C EDRIC C HAUVE , FALL 2013 2 1 40 1 0 2 1 3 10 0 05 , 10 2 MATH 895-4 Fall 2010 Course Schedule f a cu lty of sc ie nce d ep ar tment of mathem atics Week Date Sections Part/ References Topic/Sections from FS2009 and scale the second row by 1/2 1 Sept 7 I.1, I.2, I.3 2 14 I.4, I.5, I.6 3 21 II.1, II.2, II.3 Combinatorial Structures FS: Part A.1, A.2 Comtet74 Handout #1 (self study) 2 10 40...
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