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Suppose that the matrix A has the following eigenvalues and eigenvectors: A₁ = -3 with 7₁ = and 1 Write the solution to the linear system' = Ar in the following forms. A₂ = 1 with 7₂ A. In eigenvalue/eigenvector form: [*] = = C1 = B. In fundamental matrix form: [*(+)] = e t + C₂ 11. e

Suppose that the matrix A has the following eigenvalues and eigenvectors: A₁ = -3 with 7₁ = and 1 Write the solution to the linear system' = Ar in the following forms. A₂ = 1 with 7₂ A. In eigenvalue/eigenvector form: [*] = = C1 = B. In fundamental matrix form: [*(+)] = e t + C₂ 11. e

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 77E
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C. As two equations: (write "c1" and "c2" for c₁ and c₂ ) x(t) = y(t): = ←
Transcribed Image Text:C. As two equations: (write "c1" and "c2" for c₁ and c₂ ) x(t) = y(t): = ←
Suppose that the matrix A has the following eigenvalues and eigenvectors: [43]. A₁ = −3 with 7₁ and A₂ = 1 with 7₂ [1] Write the solution to the linear system 7' = Ar in the following forms. [x (t) [y(t)_ A. In eigenvalue/eigenvector form: = C1 [x(t) [y(t). - - B. In fundamental matrix form: = AI ← A A GI e → t Hall + C₂ 40 J 4] e
Transcribed Image Text:Suppose that the matrix A has the following eigenvalues and eigenvectors: [43]. A₁ = −3 with 7₁ and A₂ = 1 with 7₂ [1] Write the solution to the linear system 7' = Ar in the following forms. [x (t) [y(t)_ A. In eigenvalue/eigenvector form: = C1 [x(t) [y(t). - - B. In fundamental matrix form: = AI ← A A GI e → t Hall + C₂ 40 J 4] e
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