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341hw6 - Homework 6 due Friday October 14th in class 1...

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Unformatted text preview: Homework 6, due Friday October 14th, in class 1. Define 1 1 11 −1 −1 0 0 A = −2 −2 0 0 0 0 11 1 1 22 1 1 3 , 3 4 1 −1 b1 = 1 , 3 4 1 −1 b2 = 1 . 3 27 1a. Solve the system Ax = b1 . (Show your work.) 1b. Show that the system Ax = b2 is inconsistent. (Show your work.) 1c. Express b1 as a linear combination of columns of A. (There may be more than one correct answer.) 2. Define 1 −1 1 −1 1 −1 , A= 4 2 0 0 2 5 0 0 b = . 8 9 Can b be written as a linear combination of the columns of A? ...
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