My id ends in 1.
DE 01_FINAL_LinAlgebra_Spring202 X + Dann C:/Users/35989/Desktop/01_FINAL_%20LinAlgebra_Spring2021.pdf 3 a a + | D A V 3. Write a basis for the orthogonal complement pl. In each case your answers should be motivated. PROBLEM III (21 points) Let A be an n x n matrix, not necessarily diagonalizable. Assume that where I denotes the identity n x n matrix. 1. What are the possible eigenvalues of A? 2. What are the possible values of its determinant det A? 3. To answer the next question you must first write down your concrete personal matrix A filling the empty box with your personal number id, (the last nonzero digit of your student -1 ID, say if your student Id is 1234580, then A= id-1 Suppose now your personalized matrix A = satisfies A = 1. Find the entries y on the second row explicitly, and write down the unique) concrete matrix A you have found. Check if A2 = 1. Find its eigenvalues and its determinant det A and see if they agree with your answers of (a) (b) given above. Remark. To get a credit cach answer to this problem should contain() explicit information and (ii) an argument. An answer to each of the subquestions can get only full credit, or 0 (no partial crexit), full credit requires that the explicit info in your answer is correct and the argument (your explanation) is correct. IH O AL 6 01_FINAL_LinAlgebra... My Id Ends In 1. Che... GWBWork: S2021_M.. Zoom Ao la I ENG 18:36 DE 01_FINAL_LinAlgebra_Spring202 X + Dann C:/Users/35989/Desktop/01_FINAL_%20LinAlgebra_Spring2021.pdf 3 a a + | D A V 3. Write a basis for the orthogonal complement pl. In each case your answers should be motivated. PROBLEM III (21 points) Let A be an n x n matrix, not necessarily diagonalizable. Assume that where I denotes the identity n x n matrix. 1. What are the possible eigenvalues of A? 2. What are the possible values of its determinant det A? 3. To answer the next question you must first write down your concrete personal matrix A filling the empty box with your personal number id, (the last nonzero digit of your student -1 ID, say if your student Id is 1234580, then A= id-1 Suppose now your personalized matrix A = satisfies A = 1. Find the entries y on the second row explicitly, and write down the unique) concrete matrix A you have found. Check if A2 = 1. Find its eigenvalues and its determinant det A and see if they agree with your answers of (a) (b) given above. Remark. To get a credit cach answer to this problem should contain() explicit information and (ii) an argument. An answer to each of the subquestions can get only full credit, or 0 (no partial crexit), full credit requires that the explicit info in your answer is correct and the argument (your explanation) is correct. IH O AL 6 01_FINAL_LinAlgebra... My Id Ends In 1. Che... GWBWork: S2021_M.. Zoom Ao la I ENG 18:36
