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Engr 231 Homework 6

# Engr 231 Homework 6 - ENGR 231 LINEAR ENGINEERING SYSTEMS...

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Assignment 6 1 ENGR 231: LINEAR ENGINEERING SYSTEMS Fall 2011-12 ASSIGNMENT 6 Due November 15-18 COVER SHEET NAME: ___________________________________________ SECTTION: _______________________________________ GRADE (to be entered by grader): ______________________ Recitation problems . You may be required so solve one of the following problems at the board during recitation. R1. In the following examples, T ( x ) = A x . Find x whose image is b . Determine whether x is unique. A = 1 ! 2 3 0 1 ! 3 2 ! 5 6 " # \$ \$ \$ % ' ' ' . b = ! 6 ! 4 ! 5 " # \$ \$ \$ % ' ' ' , A = 1 ! 5 ! 7 ! 3 7 5 " # \$ % ' , b = ! 2 ! 2 " # \$ % ' R2 . Find all x in R 4 that are mapped to the zero verctor by A . A = 1 ! 3 5 ! 5 0 1 ! 3 5 2 ! 4 4 ! 4 " # \$ \$ \$ % ' ' ' R3 . Find the standard matrix of the following transformation: T : ! 3 ! ! 2 , T ( e 1 ) = (1, 4), T ( e 2 ) = (5, 4), T ( e 3 ) = (1, " 2). R4.

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Engr 231 Homework 6 - ENGR 231 LINEAR ENGINEERING SYSTEMS...

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