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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2017 • Question 5

Question

Math 6310 • Algebra Spring 2017 • Question 5

Let \(A\) be an \(m\times n\) real matrix of rank 1. Prove that \(A=BC\), for \(B\) a column matrix, and \(C\) a row matrix.

Raw LaTeX

Let \(A\) be an \(m\times n\) real matrix of rank 1. Prove that \(A=BC\), for \(B\) a column matrix,
and \(C\) a row matrix.

Topic Tags

Matrix Similarity, Jordan Forms, and Finite-Order Diagonalization