Find the column space, row space, and the null space of A - Linear Algebra

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1 0 −2
5.LetA=2 1 3
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a) Find the column space, row space, and the null space of A.
b) Determine if (−4, 6, 2) is in col(A).
(Answer:Col(A) = span{(1,2,3),(0,1,1) and Row(A) = span{(1,0,2),(2,1,3) and Null(A) = (2z,−7z,z) = span(2,−7,1). For part b the answer is YES).
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