Find a redundant column vector of the given matrix A, and write it as a linear combination of preceding columns. Use this representation to write a nontrivial relation among the columns, and thus find a nonzero vector in the kernel of A. (This procedure is illustrated in Example 8.) A = [12] 3 9 4 12 = [³]
Find a redundant column vector of the given matrix A, and write it as a linear combination of preceding columns. Use this representation to write a nontrivial relation among the columns, and thus find a nonzero vector in the kernel of A. (This procedure is illustrated in Example 8.) A = [12] 3 9 4 12 = [³]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 14E
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Question
![Find a redundant column vector of the given matrix A, and write it as a linear combination of preceding
columns. Use this representation to write a nontrivial relation among the columns, and thus find a
nonzero vector in the kernel of A. (This procedure is illustrated in Example 8.)
A
3
9
-[2]
=
4 12
9
[12]
=
[³]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4e826cb-c133-47e8-aeaa-858e7b3a09da%2Fa2a9924d-c06e-4d2b-a8a2-dc86e8741c39%2Fwwg51in_processed.png&w=3840&q=75)
Transcribed Image Text:Find a redundant column vector of the given matrix A, and write it as a linear combination of preceding
columns. Use this representation to write a nontrivial relation among the columns, and thus find a
nonzero vector in the kernel of A. (This procedure is illustrated in Example 8.)
A
3
9
-[2]
=
4 12
9
[12]
=
[³]
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