3 Part 1 This Problem Shows Some Hints That Will Be Useful Throughout The Test 12 1 Consider The Matrix A 1 2 3 0 Type 1 (45.84 KiB) Viewed 27 times
3 Part 1 This Problem Shows Some Hints That Will Be Useful Throughout The Test 12 1 Consider The Matrix A 1 2 3 0 Type 2 (45.84 KiB) Viewed 27 times
3 Part 1. This problem shows some hints that will be useful throughout the test. 12 1 Consider the matrix A 1 2 3 0 Type the following commands in SageCell SageMath.org. (Careful with underscores and parentheses. A matrix([[2,1,3],[1,2,3], [0,0,1]]) show A.eigenvalues()) show (A.det()) show (A 1. identity.matrix(3)) ) show A 1* identity matrix(3)) rref()) show (A 3 identity matrix(3)) ) show (A 3 identity.matrix(3)) rref() ) Now, answer the following questions: 1.1. What is the characteristic polynomial of this matrix? 1.2. For ench eigenvalue, find the corresponding dreenvectors of this matrix.
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