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## Homework Statement

Determine whether the following 2 x 2 matrices form a basis of the vector space M2x2(R) of all (2x2)-matrices over R:

A1=

1 0

0 0

A2=

2 2

0 0

A3=

3 2

1 0

A4=

4 3

2 1

## Homework Equations

## The Attempt at a Solution

So for them to be bases, they must be a linearly independant set that spans the vector space. How can i go about showing this for each matrix?