Given B1 and B2 as the bases of R?. B, = {[",]-C1} and B, = {G-C) %3D Find a. The coordinates of relative to B2. b. The transition matrix from B2 to B1. c. [v]B, if [v]e, = .

Q: 1. If A = find A1000 by diagonalizing. )Show every single step for your work).

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A: Given the equation of the hyperbola : 3x2-2y2+6x-8y=6.

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Q: 2. Let A = a₁ + a2j + a3k and B = b₁i + b₂j + b3k. Then (A × B) . j is equal to a) a2bვ — a3b2 b)…

A: A=a1i+a2j+a3k B=b1i+b2j+b3k.

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A: We have to find LU factorization.

Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, - 7.5a,, Show that A and B are dependent vectors.

A: The solution is given as

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Q: 3. Let A = (-1 2 and B = 2 0 I. Compute tensor products A®B and B® A: II. Compute Hadamard products…

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A: To find - Compute the dot product 7, 6, 8·4, 10, 8