# Show the given matrix is a vector space and find its dimension

Let W be the set of all 2x2 matrices of the form [a -b]. Then under the usual matrix operations W is

[b -a]

1. Not a vector space

2. a vector space of dimension 1.

3. a vector space of dimension 2.

4. a vector space of dimension 3.

5. a vector space of dimension 4.

https://brainmass.com/math/basic-calculus/show-given-matrix-vector-space-find-dimension-596653

#### Solution Summary

The solution gives detailed steps on showing the given matrix is a vector space and then finding its dimension.

$2.19