Question
Asked Mar 12, 2020
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[M] Let a1,..., a5 denote the columns of the matrix A, where
2
2
3
3
2 -1
-12
B = [ aj
az a4]
%3D
4
4 -5
12
-2
a. Explain why a3 and a5 are in the column space of B.
b. Find a set of vectors that spans Nul A.
c. Let T : R
4 be defined by T(x) = Ax Explain why T is neither one-to-one nor onto.
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[M] Let a1,..., a5 denote the columns of the matrix A, where 2 2 3 3 2 -1 -12 B = [ aj az a4] %3D 4 4 -5 12 -2 a. Explain why a3 and a5 are in the column space of B. b. Find a set of vectors that spans Nul A. c. Let T : R 4 be defined by T(x) = Ax Explain why T is neither one-to-one nor onto.

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