Which of these is NOT correct? Let V be an n-dimensional vector space. Then ever

Question

Which of these is NOT correct?

Let V be an n-dimensional vector space. Then every set of n vectors linearly independent in V is a basis for V If S = {v1, V2, ..., vm} is a set of linearly independent vectors in the vector space V, then every subset of S is also linearly independent. Let A be an n x n matrix. If x0 Rn is a nontrivial solution of Ax = 0 , then x0 is an eigenvector of A. Let V be an n-dimensional vector space. Then every n + 1 vectors in V must be linearly dependent. The set Pn of all real polynomials of degree n, n epsilon N or less, is an n-dimensional vector space.

Explanation / Answer

I'm not 100% sure, but either B or C is wrong. I think C is the wrong one though.

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