assig4 - Math 152, Spring 2010 Assignment #4 Notes: Each...

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Math 152, Spring 2010 Assignment #4 Notes: Each question is worth 5 marks. Due in class: Monday, February 1 for MWF sections; Tuesday, February 2 for TTh sections. Solutions will be posted Tuesday, February 2 in the afternoon. No late assignments will be accepted. 1. Consider the intersection between the following two planes given in parametric form: P 1 : x = [2 , 4 , 3] + s 1 [1 , 2 , 1] + s 2 [2 , 5 , 4] P 2 : x = [1 , 0 , - 5] + t 1 [3 , 8 , 7] + t 2 [2 , 1 , - 5] Find the intersection as a line in parametric form. 2. Reduce the matrix - 1 2 0 1 4 1 - 2 0 0 - 1 2 - 6 2 4 0 to reduced row echelon form and determine the rank of the matrix. (a) Do this question by hand. (b) Write by hand the MATLAB commands that would enter the matrix above and compute its reduced row echelon form. 3. Consider the set of vectors: a 1 = [1 , 2 , 3 , - 1] , a 2 = [ - 2 , - 3 , - 5 , 1] , a 3 = [1 , 4 , 5 , - 3] , a 4 = [ - 1 , - 3 , - 4 , 2] ,
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(a) Find all possible s 1 , s 2 , s 3 , s 4 such that
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This note was uploaded on 03/30/2011 for the course MATH 152 taught by Professor Caddmen during the Spring '08 term at The University of British Columbia.

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assig4 - Math 152, Spring 2010 Assignment #4 Notes: Each...

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