Let T be a onetoone linear transformation from Rn to Rm What

Let T be a one-to-one linear transformation from R^n to R^m. What can one say about the relationship between m and n? n lessthanorequalto m n > m n

Solution

One-to-one: T:RnRm is said to be one-to-one Rm if each b in Rm is the image of at most one x in Rn

A linear transformation T: Rⁿ R^m is one-to-one m n