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

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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 . Prove that the image of the unit square under L is a parallelogram of area
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

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 ....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern