2. Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the matrix.

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A: Evaluation of the triple integral

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A: Symmetric matrix always orthogonally diagonalisable.

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Q: Evaluate the following sum of iterated double integrals 1 2y c4-2у Ar-z dx dy + 4x-x2 e Az-a dx dy…

A: Due to  change of order we get a single iterated integral and easily it can be evaluated.

Q: Let (V, (,)) be an inner product space and let v, w be vectors in V. If (v, w) = 7 and ||w|| = 5,…

A: The solution is given below. Hope this helps.

Q: Question 2 3 Cansider the arthagonal basis B: of R 5 Let U = -64 15 If [v]B = 6|. what is the value…

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Q: Let B = {b1, b2} be a basis for a vector space V. Let T : V –→ V be a linear transformation with the…

A: let B={b1,b2} be basis for vector space.

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Q: 1.1 Show that if |z| < 1. then lim z" = 0. %3D 1.2 Show that lim Vn = 1.

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Q: 3. 37 Consider the orthogonal basis B = -3 10 of R3. 3 1 5 Let v = -64 15 a If vB =|b|, what is the…

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