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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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]
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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