Hw15-4.3-MA-DM: Problem 6 Problem Value: 10 point(s). Problem Score: 0%. Attempts Remaining: 20 attempts. Help Entering

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Hw15 4 3 Ma Dm Problem 6 Problem Value 10 Point S Problem Score 0 Attempts Remaining 20 Attempts Help Entering 1 (105.43 KiB) Viewed 19 times

Hw15-4.3-MA-DM: Problem 6 Problem Value: 10 point(s). Problem Score: 0%. Attempts Remaining: 20 attempts. Help Entering Answers See Example 4.3.4, in Section 4.3, in the MTH 235 Lecture Notes. (10 points) ▾ Part 1: Finding Eigenpairs Find the eigenvalues and their corresponding eigenspaces of the matrix A = 0 (a) Enter ₁, the eigenvalue with algebraic multiplicity 1, and then 1₂, the eigenvalue with algebraic multiplicity 2. Note: Enter two numbers separated by a comma. 2₁, 2₂ = (b) Enter an eigenvector for the eigenvalue ₁, which has multiplicity one. Σ Note: Your answer should be a vector of the form (u₁, U2, U3). (c) Enter eigenvector(s) for the eigenvalue 2, 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 u 2 0 5 2 3 0 0 -3 v or V, W Σ Note: Your answer should be either one vector of the form (U1, U2, U3) or two vectors separated by commas. Part 2: Diagonalizability Part 3: Diagonalizability, Again