a) Find the value(s) of c for which the following vectors v, = ,V2 : and v4 are linearly independent. b) Express the vector (-1,5,-6) in R³as a linear combination of (2,0,7), (2,4,5) and (2, -12,13).

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 12CM
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a) Find the value(s) of c for which the following vectors v, =
,v2 =
1.
and v4
-1
are linearly independent.
,V3
b) Express the vector (-1,5,-6) in R³as a linear combination of (2,0,7), (2,4,5)
and (2, -12,13).
Transcribed Image Text:a) Find the value(s) of c for which the following vectors v, = ,v2 = 1. and v4 -1 are linearly independent. ,V3 b) Express the vector (-1,5,-6) in R³as a linear combination of (2,0,7), (2,4,5) and (2, -12,13).
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