This** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*
**Unformatted text preview: **A is NOT equal to the column space of U . 2.4.8 If n > m then there would be more columns than rows (a fat matrix). Since the dimension of the row space is equal to the dimension of the column 1 space, there would be at least n-m free variables, and thus inFnite solu-tions. Therefore, this cannot be the case. If m > n then there would be more rows than columns (a tall matrix). If all n columns were linearly independent, then the only solution would be x = 0, and the rank would be n . Similarly, if m = n and all columns were linearly independent (and therefore rows as well) then the rank would be n as well. 2...

View
Full Document

- Spring '08
- Neely
- Linear Algebra, column space, Dr. Jonckheere TA, Ben Raskob, U. Note