If the column space of a 3x3 matrix consists of all vectors b=[b, b2 b3] such that b,+ b2= 3b3 then one of the following set of the vectors forms abasis for the left null space of that matrix: O133-11 O1113] and [11-3] O133 1] and [33- 1] O 11-3]

If the column space of a 3x3 matrix consists of all vectors b=[b, b2 b3] such that b,+ b2= 3b3 then one of the following set of the vectors forms abasis for the left null space of that matrix: O133-11 O1113] and [11-3] O133 1] and [33- 1] O 11-3]

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...

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Question

If the column space of a 3x3 matrix consists of all vectors b=[b, b2 b3] such that b,+ b2= 3b3 then
one of the following set of the vectors forms abasis for the left null space of that matrix:
O133-1]
0113] and [11 -3]
0133 1] and [33-1]
O1 11-3]

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