136A3 - | ad-bc | . 2. [6 marks] Let R = 1-3 1 1 5 , x 1 =...

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ASSIGNMENT 3 for SECTION 001 Questions from the textbook Section 3-2: B1 [4 marks] ; B3 (a) and (b) [4 marks] ; B4 (b) and (c) [6 marks] ; and B5 [4 marks] In addition to the questions listed here, do the MATLAB question from Assignment 3 for the other sections; this may be found under Content > Assignments > Assignment 3 [2 marks] Other questions 1. [4 marks] The unit square in R 2 is parametrized by the formula r e 1 + s e 2 , 0 r, s 1 , where e 1 and e 2 denote the columns of the 2 × 2 identity matrix. Let L be a linear transformation with standard matrix ± a b c d ² . Prove that the image of the unit square under L is a parallelogram of area
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Unformatted text preview: | ad-bc | . 2. [6 marks] Let R = 1-3 1 1 5 , x 1 = 1-1 3 , x 2 = 1 2 1 , x 3 = 2-1 2-1 , b 1 = -3 7 18 , b 2 = 5-5 1 , b 3 = 6-3 and b = 10 3 17 . Let L be the linear transformation whose standard matrix has reduced row-echelon form R , and such that L ( x i ) = b i for i = 1 , 2 , 3. Solve L ( x ) = b ....
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