Page 400 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

15.
16.
17.

Determine bases for the following subspaces of .
18.

(a) the plane

(b) the plane

(c) the line , ,

(d) all vectors of the form , where

Determine the dimensions of the following subspaces of .
19.

(a) all vectors of the form

(b) all vectors of the form , where and

(c) all vectors of the form , where

Determine the dimension of the subspace of consisting of all polynomials for which .
20.

Find a standard basis vector that can be added to the set to produce a basis for .
21.

(a)

(b)

Find standard basis vectors that can be added to the set to produce a basis for
22.