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Unformatted text preview: 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 ( ...............
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This note was uploaded on 01/26/2012 for the course MAS 4105 taught by Professor Rudyak during the Fall '09 term at University of Florida.
- Fall '09