Question: questions below: This exercise refers to P2 with the inner product given by evaluation at - 1, O, and 1. Compute p and q. for

questions below: This exercise refers to P2 with the inner product

questions below:

This exercise refers to P2 with the inner product given by evaluation at - 1, O, and 1. Compute \"p\" and "q\". for p(t) =2 +t and q(t) = 4 - 3t2. \"p\" = I: (Simplify your answer. Type an exact answer, using radicals as needed.) \"q\" = I: (Simplify your answer. Type an exact answer, using radicals as needed.) Determine by inspection whether the vectors are linearly independent. Justify your answer. Choose the correct answer below. 0 A. The set is linearly independent because there are four vectors in the set but only two entries in each vector. 0 B. The set is linearly dependent because there are four vectors but only two entries in each vector. 0 C. The set is linearly independent because at least one of the vectors is a multiple of another vector. 0 D. The set is linearly dependent because at least one of the vectors is a multiple of another vector. Find a basis for the eigenspace corresponding to the eigenvalue of A given below. 6 0 10 2 2 -4 0 A= ,l=5 4 -3 3 0 3 -2 -15 A basis for the eigenspace corresponding to 3. = 5 is D. (Use a comma to separate answers as needed.)

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