Consider the vector space V = M2 under the weighted inner product a12 [011 ([an an], [b1 b2]) = 4a11b11 + a12b12 + 3a21b21 +2a22b22. a21 a22 621 622 Let A = [A] √2 B = -1/1/201 :] € M₂. Using the above inner product, determine the following: (a) (A, B), ||A||, and ||B||. (b) the angle between A and B. (c) the distance between A and B.

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A: Answer is in below steps.

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A: The answer is given in handwritten form in the step-2 box. Please check it.

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