Determine which of the following statements is false. A: The dimension of the vector space P_3 of polynomials is 4. B: Any line in R^3 is a one-dimensional subspace of R^3. C: If a vector space V has a basis B = {b_1, ..., b_5}, then any set in V containing 6 vectors must be linearly dependent. C B A A and B
Show transcribed image textDetermine which of the following statements is false. A: The dimension of the vector space P_3 of polynomials is 4. B: Any line in R^3 is a one-dimensional subspace of R^3. C: If a vector space V has a basis B = {b_1, ..., b_5}, then any set in V containing 6 vectors must be linearly dependent. C B A A and B