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## Homework Statement

Is M22 spanned by the following 2x2 matrices:

[1,1;0,1]

[0,1;1,0]

[1,0;1,1]

[0,-1;1,0]

semi colon means start of new row.

## Homework Equations

## The Attempt at a Solution

Is this essentially asking me to check if the given matrices form a spanning set? So are we checking for linear independence? Or are we saying that ok lets pick an arbitrary 2x2 [a,b;c,d] and see if we can come up with a formula for a b c and d in terms of 4 scalars?

I checked for linear independence, and turns out that these 4 matrices are not linearly independent. If they were than after row reduction, I should have gotten I.

Any help on this would be appreciated.