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20 4 02 2 00-2 (a) Enter X₁, the eigenvalue with algebraic multiplicity one, and then X2, the eigenvalue with algebraic multiplicity two. A1, A₂ = Find the eigenvalues and their corresponding eigenspaces of the matrix A -2,2 Note: Enter two numbers separated by a comma. (b) Enter an eigenvector for the eigenvalue X₁, which has multiplicity one. Σ u M Note: Your answer should be a vector of the form (u1, 2, 3). (c) Enter eigenvector(s) for the eigenvalue A2, which has multiplicity two. • If all the eigenvectors are proportional to each other, then enter only one eigenvector. • If there are two eigenvectors not proportional to each other, then enter these two eigenvectors. Σ v or V, W Note: Your answer should be either one vector of the form (V1, V2, V3) or two vectors separated by commas.

20 4 02 2 00-2 (a) Enter X₁, the eigenvalue with algebraic multiplicity one, and then X2, the eigenvalue with algebraic multiplicity two. A1, A₂ = Find the eigenvalues and their corresponding eigenspaces of the matrix A -2,2 Note: Enter two numbers separated by a comma. (b) Enter an eigenvector for the eigenvalue X₁, which has multiplicity one. Σ u M Note: Your answer should be a vector of the form (u1, 2, 3). (c) Enter eigenvector(s) for the eigenvalue A2, which has multiplicity two. • If all the eigenvectors are proportional to each other, then enter only one eigenvector. • If there are two eigenvectors not proportional to each other, then enter these two eigenvectors. Σ v or V, W Note: Your answer should be either one vector of the form (V1, V2, V3) or two vectors separated by commas.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2 0 02 00-2 (a) Enter X₁, the eigenvalue with algebraic multiplicity one, and then X2, the eigenvalue with algebraic multiplicity two. Find the eigenvalues and their corresponding eigenspaces of the matrix A = A1, A2 = u -2,2 Note: Enter two numbers separated by a comma. (b) Enter an eigenvector for the eigenvalue X₁, which has multiplicity one. Σ M v or V, W 4 2 Note: Your answer should be a vector of the form (u₁, U2, U3). (c) Enter eigenvector(s) for the eigenvalue X2, which has multiplicity two. • If all the eigenvectors are proportional to each other, then enter only one eigenvector. If there are two eigenvectors not proportional to each other, then enter these two eigenvectors. Σ Note: Your answer should be either one vector of the form (V1, V2, V3) or two vectors separated by commas.
Transcribed Image Text:2 0 02 00-2 (a) Enter X₁, the eigenvalue with algebraic multiplicity one, and then X2, the eigenvalue with algebraic multiplicity two. Find the eigenvalues and their corresponding eigenspaces of the matrix A = A1, A2 = u -2,2 Note: Enter two numbers separated by a comma. (b) Enter an eigenvector for the eigenvalue X₁, which has multiplicity one. Σ M v or V, W 4 2 Note: Your answer should be a vector of the form (u₁, U2, U3). (c) Enter eigenvector(s) for the eigenvalue X2, which has multiplicity two. • If all the eigenvectors are proportional to each other, then enter only one eigenvector. If there are two eigenvectors not proportional to each other, then enter these two eigenvectors. Σ Note: Your answer should be either one vector of the form (V1, V2, V3) or two vectors separated by commas.
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