Are the vectors 3 -2 24 and linearly independent? -16 3 4 Choose If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. -3 3 24 0 -16 If k is a real number, then the vectors (1, k), (k, k + 2) are linearly independent precisely when k + a, b, where a = == 0, b = and a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Linear Algebra
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Are the vectors
3
-2
24
and
linearly independent?
-16
3
4
Choose
If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they
are linearly independent, find the only scalars that will make the equation below true.
-3
3
24
0
-16
Transcribed Image Text:Are the vectors 3 -2 24 and linearly independent? -16 3 4 Choose If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. -3 3 24 0 -16
If k is a real number, then the vectors (1, k), (k, k + 2) are linearly independent precisely when k + a, b,
where a =
== 0, b =
and a <b.
Transcribed Image Text:If k is a real number, then the vectors (1, k), (k, k + 2) are linearly independent precisely when k + a, b, where a = == 0, b = and a <b.
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