Linear Algebra Done Right · Problem 9D.6

Operators on Real Vector Spaces — Sheldon Axler

Mathematics — Linear Algebra · tensor-products

Problem

Suppose

m

and

n

are positive integers. Give a description, analogous to Exercise 5, of the set of

m

-by-

n

matrices (with entries in

\mathbf{F}

) that have rank at most two.