3. Let ao, a₁, a2, ... be the sequence defined by ao = 0, a₁ = 1, and an for all n > 1. (a) Find a matrix A such that :)) = 4²₁ (2) An an an+1, = = 2an-1 + an-2 for all n ≥ 0. (b) Compute An by diagonalization and use the result to obtain a formula for an.

Q: Let A be an invertible matrix. Show that det (adj (A)) = det (A-¹).

A:

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A: Please check the answer in next step

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A: ANSWER

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Q: .

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Q: 2 (²). 4 -2 -1 5 3 ). Compute all the valid products between these three matrices. E: Let A = B = 3…

A: A=2-34, B=3-201-14553, C=403 To Do:Compute the valid products between the given matrices.

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A:

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A: Solution

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Q: Compute (a) llAll2 and (b) cond2(A) for the indicated matrix.

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A:

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