Question: Please help me with these 2 problems, thank you!!! Question 8. Show that the following formula defines an inner product on the vector space of

Please help me with these 2 problems, thank you!!!

Question 8. Show that the following formula defines an inner product on the vector space of all mxn matrices. (A, B) := trace(AT B). Question 9. Is C[0, 1] an inner product space under the following formula? (f, 8) = (f(x) + 8(x))dx

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