1. Vector Spaces Determine whether each of the following is a subspace and justify your answer. In all these cases the underlying field is R. 3 (a) {(a, b, c) = R³ | a + 2b+2c= 0} (b) {(a, b, c) = R³ | a² = b} (c) {ƒ ≤ C[0,1] | ƒ(1/2) = 1} with the standard function addition and scalar multiplication where C[0, 1] denotes the set of all continuous functions on the interval 0 ≤ x ≤ 1 a (d) A = R²x2 | A = { to] matrix addition and scalar multiplication. b a + b , a, b ER with the standard

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Q: 11. Find a basis of the following subspace of R4. W = all vectors of the form (a, b, c, d) where a +…

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A: I have attached the image below Explanation:

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