Question
Linear Algebra Question on Finite Dimensional Vector Spaces
Let P12(x) be the real vector space of polynomials in the variable x with real coefficients and having degree at most 12, together with the zero polynomial. Define
𝑉 = \left\\{𝑓 ∈ 𝑃_{12}(𝑥): 𝑓(−𝑥) = 𝑓(𝑥) \text{for all}\ 𝑥 ∈ ℝ\ \text{and}\ 𝑓(2024) = 0\right\\}.
Then, the dimension of V is _____________
Answer
The correct answer is 6.