Question: How can I solve this question 4? (linear algebra) Question 4a [4pts] Let V be an inner product space with inner product ( , ),

How can I solve this question 4? (linear algebra)

How can I solve this question 4? (linear algebra) Question 4a [4pts] Let V be an inner product space with inner product ( , ), and let X1, . ..In, ye V. Use proof by induction to show that n n y = (ii , y) =1 Question 4b [6pts] Let B = (b1, . .., bn} be a basis for an inner product space V with inner product ( , ). We can define an n x n matrix G by gij = (bi, bj) for all i, j = 1, .. ., n Prove that (7, y) = [x]Gly]B for all a, ye V

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