S = |----0--()-(0) a) Is S linearly independent? b) Does S span R3? What can you conclude about S? a c) Let vb be an arbitrary vector in R³. Write v as a linear combination of the standard basis vectors C1, C2, C3 for R³. d) Let v = a b be an arbitrary vector in R³. Now write v as a linear combination of C the vectors x, y, z, i.e., find coefficients C1, C2, C3 such that C1x+C2y+C3% = v.
S = |----0--()-(0) a) Is S linearly independent? b) Does S span R3? What can you conclude about S? a c) Let vb be an arbitrary vector in R³. Write v as a linear combination of the standard basis vectors C1, C2, C3 for R³. d) Let v = a b be an arbitrary vector in R³. Now write v as a linear combination of C the vectors x, y, z, i.e., find coefficients C1, C2, C3 such that C1x+C2y+C3% = v.
Chapter1: Introducing The Economic Way Of Thinking
Section1.A: Applying Graphics To Economics
Problem 13SQ
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Transcribed Image Text:S =
|----0--()-(0)
a) Is S linearly independent?
b) Does S span R3? What can you conclude about S?
a
c) Let vb
be an arbitrary vector in R³. Write v as a linear combination of the
standard basis vectors C1, C2, C3 for R³.
d)
Let v =
a
b be an arbitrary vector in R³. Now write v as a linear combination of
C
the vectors x, y, z, i.e., find coefficients C1, C2, C3 such that
C1x+C2y+C3% = v.
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