403/503 – HW4

Let b\in\mathbb R^m and let A be an m\times n matrix with real entries. Set C=\{x\in\mathbb R^n\mid Ax=b\}, and suppose that C\ne\emptyset. Show that C is an affine space.

(Due January 29 at the beginning of lecture.)

Advertisement

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

%d bloggers like this: