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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 Fall '08
 Zhang
 Linear combination, G protein coupled receptors, 1c. Express b1

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