- #1
zenith92
- 10
- 0
Hello, so I'm currently busy my (first) linear algebra course. We use the book Linear Algebra and it's Application third edition Update (red cover). I noticed that in sections 1.4 and section 1.5 (don't know about the rest yet) that they sometimes describe vectors that are in Rn and sometimes in Rm, 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 Rm. Such a system Ax = 0 always has at least one solution, namely x = 0 (the zero vector in Rn).
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 Rm. Such a system Ax = 0 always has at least one solution, namely x = 0 (the zero vector in Rn).