Construct a matrix whose column space contains (1, 1, 5) and (0, 3, 1) and whose nullspace contains (1, 1, 2).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section: Chapter Questions
Problem 14RQ
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I need help with this please:

A) Construct a matrix whose column space contains (1, 1, 5) and (0, 3, 1) and whose
nullspace contains (1, 1, 2). 

B) If AB = 0 then the column space of B is contained in the __ of A. Why?

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