Number 7 Construct a 2 x 2 matrix A such that the solution set of the equation Ax= 0 is the line in R" through (4, 1) and the origin. Then, find a vector b in R´ such that the solution set of Ax = b is not a line in R´ parallel to the solution set of Ax = 0. Why does this not contradict Theorem 6?
Number 7 Construct a 2 x 2 matrix A such that the solution set of the equation Ax= 0 is the line in R" through (4, 1) and the origin. Then, find a vector b in R´ such that the solution set of Ax = b is not a line in R´ parallel to the solution set of Ax = 0. Why does this not contradict Theorem 6?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 22EQ
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