# Vectors and Subspaces

2 a) Find a base for the subspace W of spanned by

What is the dimension of W?

b) Let

1) Show that W is a subspace of

2) Find a base for W

3) Determine the dimension of W

c) Let

1) Determine whether Y is a base for , the vector space of all 2 x 2 matrices.

d) Find the two values of a for which the vectors:

are linearly dependent.

In the case where a=1, express the vector in terms of

Please see the attached file for the fully formatted problems.

© BrainMass Inc. brainmass.com October 9, 2019, 6:16 pm ad1c9bdddfhttps://brainmass.com/math/vector-calculus/vectors-and-subspaces-83493

#### Solution Summary

Vectors and Subspaces are investigated.

$2.19