5. Construct a matrix with the required property or explain why this is Impossible. (a) Column space contains (1,-1,2) and (2,5, -3), nullspace has basis (1, -3, 1). (b) Row space has basis (1,2,3, 4), left nullspace has basis (2, 1). (c) Column space has basis (2,3,-1), left nullspace has basis (4, -1,5).
5. Construct a matrix with the required property or explain why this is Impossible. (a) Column space contains (1,-1,2) and (2,5, -3), nullspace has basis (1, -3, 1). (b) Row space has basis (1,2,3, 4), left nullspace has basis (2, 1). (c) Column space has basis (2,3,-1), left nullspace has basis (4, -1,5).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 63EQ
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