Problem 5. Consider the vector space R4. Find all pairwise orthogonal vectors (column vectors) x1, ...,Xp, where the entries of the column vectors can only be +1 or –1. Calculate the matrix j=1 and find the eigenvalues and eigenvectors of this matrix.

Q: Alice has the following two vectors and matrix: A = -2 -3 21/2 21/2 2 y = 6-1/2 61/2 31/2 3-1/2

A: Introduction: The columns of a matrix A, (where the columns are A1, A2, ...,An) are said to be…

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Q: Suppose that Q is an orthogonal matrix, then OaQ-8 ObQ-2 d 1Q-0

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Q: (C). -2 Consider the matrix A = and the vector u = Let B = (A – A")² and define vector v = Bu. If v…

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Q: 1. Two matrix vectors a and b are given as a = -0--0 and b Find (alb).

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A: Given LP problem is, x1-x2+2x3≤82x1+x2-x3≥6x1+3x2≥93x1+x2-x3≤10x1,x2,x3≥0 The canonical form of LP…

Q: 45. Do 000 form a basis for R³?

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Q: Generate a matrix A by settingA = floor(10 ∗ rand(6))and generate a vector b by settingb = floor(20…

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Q: find if the vector x is in the range for matrix A

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Q: 2. Find the coordinate matrix of 7 = ³- {)-(-9)} B = 2 0 0 6 2 relative to the basis

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Q: entries

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Q: -2 11 and vector b = -5 Is b in the Let the matrix A = 3 -2

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A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

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