問題詳情

Consider the vector space S consisting of all degree-2 polynomials with realcoefficients, ie., polynomials in the form of c0 +c1t +c2t2. Define the innerproduct between two vectors as

c2d2. Which of the following statement is/are true?
(A). The dimension of S is 2.
(B). The polynomials 1 + t, t and 1 + t2 are linearly independent.
(C). The set{1 + t, t, 1 + t2} can be a basis for S.
(D). The two polynomials 1 - 2t + t2, and -1 + 2t - t2 are orthogonal to cachother.
(E). None of the above is true.

參考答案

答案：[無官方正解]
難度：計算中-1
書單：沒有書單，新增