Question:
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
\(π = \left\{π β π_{12}(π₯): π(βπ₯) = π(π₯) \text{for all}\ π₯ β β\ \text{and}\ π(2024) = 0\right\}.\)
Then, the dimension of V is _____________
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
\(π = \left\{π β π_{12}(π₯): π(βπ₯) = π(π₯) \text{for all}\ π₯ β β\ \text{and}\ π(2024) = 0\right\}.\)
Then, the dimension of V is _____________
\(π = \left\{π β π_{12}(π₯): π(βπ₯) = π(π₯) \text{for all}\ π₯ β β\ \text{and}\ π(2024) = 0\right\}.\)
Then, the dimension of V is _____________
Updated On: Oct 1, 2024
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Correct Answer: 6
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The correct answer is 6.
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