determine whether W is a subspace of the vector space. W={f:f(0)=−1},V=C[−1,1]

Annette Sabin

Annette Sabin

Answered

2022-01-05

determine whether W is a subspace of the vector space.
W={f:f(0)=1},V=C[1,1]

Answer & Explanation

sonorous9n

sonorous9n

Expert

2022-01-06Added 34 answers

See the vector space and checked wheather zero function belongs or not , if yes then check other conditions for subspace.
W={f:f(0)=1},V=C[1,1]
∵ if fWf(0)=1
and 0(0)=0 [0 = zero function]
so 0W
so zero function does not belongs to W
so W is not subspace

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