{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

b-cl-lina.2011t - Linear Algebra MAS4105 6137 Prof JLF King...

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

View Full Document Right Arrow Icon
Linear Algebra MAS4105 6137 Class-B Prof. JLF King 1Oct2011 B1: OYOP: Essay: Write on every third line, so that I can easily write between the lines. In grammatical English sentences , prove the following: Intersection thm. Suppose X and Y are subspaces of VS V . Prove that W := X Y is a subspace. [ Hint: First give a formal definition of what it means for a subset of V to be a sub space . ] B2: Show no work. Please write DNE in a blank if the described object does not exist or if the indicated operation cannot be performed. a With C the change-of-basis matrix from E := (1 , x, x 2 ) to B := (3 x + 5 x 2 , x + 2 x 2 , 1), then C 1 equals , C = . b Over Q , the inverse of E := 1 A C 1 B 1 is . c Glued to a massless plate is a 15 lb weight at the origin, a 5 lb weight at the point (3 , 1), and 10 lb at point ( . . . . . . . . . . . . , . . . . . . . . . . . . ) , thus putting the center-of-mass of the weighted-plate at (1 , 2). d Let M := 1 5 - 1 - 20 - 32 0 2 5 - 1 33 0 1 3 0 21 . Working over field Z 7 , matrix RREF ( M ) equals e Let R θ be the std. rotation [ by θ ] matrix. With C := 3 1 1 3 and B := 2 2 2 2 , the product [ CB ] 35 = α ·
Image of page 1
This is the end of the preview. Sign up to access the rest of the 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