136A4 - ASSIGNMENT 4 for SECTION 001 Questions from the...

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ASSIGNMENT 4 for SECTION 001 Questions from the textbook Section 3-3: B1 [3 marks] , B3 (c) [1 mark] , B4 [4 marks] , B5 (a) [2 marks] , B6 (a) [3 marks] , D4 [3 marks] and D6 [2 marks] In addition to the questions listed here, do the MATLAB question from Assignment 4 for the other sections; this may be found under Content > Assignments > Assignment 4 [2 marks] Other questions 1. [6 marks] Given an angle θ , let R θ denote the linear transformation reflecting vectors across the line
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Unformatted text preview: formed by rotating the x-axis counterclockwise by θ . Find all conditions on α and β such that R α and R β commute. 2. [4 marks] Let K : R m → R n and L : R n → R m be linear transformations, and let m < n . Prove that the reduced row-echelon form of the standard matrix of K ◦ L is not an identity matrix....
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