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Assignment 3 This assignment covers. STUDYGUIDES Content TEXT BOOK Module 5 Unit 1 and Unit 2 Gauss Elimination Eigenvalues and eigenvectors 8th edition Chapter 25.4 and 25.5 9th edition Chapter 21.4 and 21.6 This assignment contributes 10% to your year mark. Answer all questions. Your answers must show your own reasoning. Pay attention to only answer what is asked. All answers must be handwritten and scanned. No typed solutions will be accepted. QUESTION 1 If       3 6 1 4 B , find the eigenvalues of B. (5) QUESTION 2 If          3 2 2 0 2 1 0 0 4 A , find an eigenvector corresponding to the eigenvalue   2 . (5) QUESTION 3 Find the eigenvalues of           1 2 0 1 2 1 0 0 4 A and an eigenvector corresponding to   0 . (10) QUESTION 4 Solve the following system of linear equations by Gaussian elimination:       1 2 3 1 2 3 1 2 3 4 6 2 1 2 4 3 2 3 2 5 8 3 x x x R x x x R x x x R          (10) TOTAL: 30 2025

          Assignment 3 This assignment covers. STUDYGUIDES Content TEXT BOOK Module 5 Unit 1 and Unit 2 Gauss Elimination Eigenvalues and eigenvectors 8th edition Chapter 25.4 and 25.5 9th edition Chapter 21.4 and 21.6 This assignment contributes 10% to your year mark. Answer all questions. Your answers must show your own reasoning. Pay attention to only answer what is asked. All answers must be handwritten and scanned. No typed solutions will be accepted. QUESTION 1 If       3 6 1 4 B , find the eigenvalues of B. (5) QUESTION 2 If          3 2 2 0 2 1 0 0 4 A , find an eigenvector corresponding to the eigenvalue   2 . (5) QUESTION 3 Find the eigenvalues of           1 2 0 1 2 1 0 0 4 A and an eigenvector corresponding to   0 . (10) QUESTION 4 Solve the following system of linear equations by Gaussian elimination:       1 2 3 1 2 3 1 2 3 4 6 2 1 2 4 3 2 3 2 5 8 3 x x x R x x x R x x x R          (10) TOTAL: 30 2025

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