Question

# Determine which of the following are subspaces of C[a,b]. Here a,b,c in R (over the set of all real numbers) and

are fixed such that a < c < b.

a. V = {f **ε **C[a,b] | f(c) = 0}

b. V = {f ε C[a,b] | f(c) = 1}

c. V = {f ε D[a,b] | f'(c) = 0}

d. V = {f ε D[a,b] | f' is constant}

e. V = {f ε D[a,b] | f'(c) = 1}

Also an explanation in English please

#### Top Answer

a. V is a subspace. b. V is not a... View the full answer