MATH 551 Final: MATH 551 KSU Final Exam u01
15 Feb 2019
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Suppose that a is a 3 3 matrix with eigenvalues 0, 1, and 2. Find each of the following. (a) the rank of a. (b) the determinant of ata. (c) the determinant of a + i. (d) the eigenvalues of (a + i) 1. (20) 2. Suppose the elementary operation(eliminations) reduce the matrix a and b to the same row echelon form. Find the diagonal matrix d such that b = qdq 1. 3 3 8 2 (a) compute the reduced row echelon form of a. Each row of the table below summarizes data collected for some matrix a and the corresponding transformation. The always solvable column refers to whether the system ax = b is solvable for all b and the unique solution column referes to whether or not there will be at most one solution. Your assignment is to ll in all the missing data from the table.
