3/3 points | Previous Answers HoltLinAlg2 61002 Determine...

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Current Score : 30 / 31 Due : Thursday, November 23 2017 11:00 PM PST 1. 3/3 points | Previous Answers HoltLinAlg2 6.1.002. Determine which of are eigenvectors for the matrix A . For those that are, determine the associated eigenvalue. (For each vector, enter the associated eigenvalue, if it exists. If an eigenvalue does not exist, enter DNE.) x 1 \$\$ DNE x 2 \$\$ DNE x 3 \$\$3 Solution or Explanation for any λ , so is not an eigenvector. for any λ , so is not an eigenvector. are eigenvectors with associated eigenvalue UW Common Math 308 Section 6.1 (Homework) KEIRA HANSEN Math 308, section F, Fall 2017 Instructor: Lucas Braune WebAssign The due date for this assignment is past. Your work can be viewed below, but no changes can be made. Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key. Request Extension x 1 , x 2 , and x 3 A = , x 1 = , x 2 = , x 3 = −1 2 0 3 0 3 1 4 3 6 A x 1 = = λ x 1 −1 2 0 3 0 3 6 9 x 1 A x 2 = = λ x 2 −1 2 0 3 1 4 7 12 x 2 A x 3 = = = 3 = 3 x 3 , so x 3 −1 2 0 3 3 6 9 18 3 6 λ = 3.
2. 3/3 points | Previous Answers HoltLinAlg2 6.1.004. Determine which of and are eigenvectors for the matrix A . For those that are, determine the associated eigenvalue. (For each vector, enter the associated eigenvalue, if it exists. If an eigenvalue does not exist, enter DNE.) x 1 \$\$5 x 2 \$\$5 x 3 \$\$ DNE x 1 , x 2 , x 3 A = , 9 −4 0 −4 9 0 −4 4 5 x 1 = , 1 1 1 x 2 = , 1 1 0 x 3 = 1 2 −1
3. 1/1 points | Previous Answers HoltLinAlg2 6.1.014. Find a basis for the eigenspace of A associated with the given eigenvalue λ . [3/2;1] We row­reduce to obtain the null space of Solving, we obtain A basis for the eigenspace is