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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2015 • Question 4

Question

Math 6310 • Algebra Fall 2015 • Question 4

Let \(M\) be a \(3\times 3\) complex matrix with \(M^6=M^4\) and \(M^4+M^2=2M^3\). Determine possible Jordan forms of \(M\).

Raw LaTeX

Let \(M\) be a \(3\times 3\) complex matrix with \(M^6=M^4\) and \(M^4+M^2=2M^3\). Determine possible
Jordan forms of \(M\).

Topic Tags

Matrix Similarity, Jordan Forms, and Finite-Order Diagonalization