Finding the image

Properties of the image

Definition of kernel

Properties of the kernel

Various characterizations of invertible matrices

For an n x n matrix A, the following statements are equivalent; that is, for a given A they are either all true or all false.

Subspaces of R^n

Linear Independence

Redundant vector

Basis of a subspace

Group/Class Exercises

Please read Section 3.3 for class on Thursday