LetA=52102 06 -2-2 7900060003Compute (a) an orthogonal decomposition A = PDPT where D =decomposition of A, namely express A as the sum of rank 1 matricesA = λ₁V₁V² + λ2V2V² + λ3V3V¹²where P = [1 2 3] so that ; are the normalized eigenvectors of A. Last, (c) write downQA(x) = ¹ Ar the quadratic form defined by A.9and (b) the spectral

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Let A - = [5 2 0 -2 0-2 7 2 6 = PDPT where D = Compute (a) an orthogonal decomposition A decomposition of A, namely express A as the sum of rank 1 matrices A = \₁V₁V² + \2U₂U₁ + λ3Ú3V²¬ where P [V1 V2 V3] So that 7; are the normalized eigenvectors of A. Last, (c) write down QA(x) = ¹ Ar the quadratic form defined by A. 06 and (b) the spectral

Let A - = [5 2 0 -2 0-2 7 2 6 = PDPT where D = Compute (a) an orthogonal decomposition A decomposition of A, namely express A as the sum of rank 1 matrices A = \₁V₁V² + \2U₂U₁ + λ3Ú3V²¬ where P [V1 V2 V3] So that 7; are the normalized eigenvectors of A. Last, (c) write down QA(x) = ¹ Ar the quadratic form defined by A. 06 and (b) the spectral

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.2: Diagonalization

Problem 32E

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