(b) E = {8.3} span as a subspace of V = C³.

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Q: 1. y = - V2x +1 2. y = (x – 1)3 + 2 3. y =-1 2x 4. y? = 6– x 5. y = 1- |x|

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A: We have to show that given set are vector subspace or not

Q: Consider the subspaces U = span{[4 0 1],[4_1 −4]} W = span { [-5 3 3], [-5 3],[−5 4 −2]}

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Q: True/False: If V is a subspace of R", then dim(V) + dim(V+) = n. True False

A: This is true and follows from a famous theorem in linear algebra.

Q: 4.33 Does every subspace have a complement?

A: To Check: Every subspace have a complement.

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