- #1

zenith92

- 10

- 0

^{n}and sometimes in R

^{m}, now I don't know if there's supposed to be a difference or if they just randomly switch between these two letters. I couldn't think of any reasoning behind the different uses, so maybe someone here knows?

Example: A system of linear equations is said to be homogeneous if it can be written in the form Ax = 0, where A is an m x n matrix and 0 is the zero vector in R

^{m}. Such a system Ax = 0 always has at least one solution, namely x = 0 (the zero vector in R

^{n}).