(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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?

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# Homework Help: Basis of a vector space

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