H = ([a,b;c,d] : a+d =0}(adsbygoogle = window.adsbygoogle || []).push({});

Dim(M_{2x2})= 4, so a basis would have 4 components?

I got this far and am stuck.

[a, b ; c , -a] = a[1,0; 0,-1] + b[0, 1;0,0] +c[0,0; 1,0]

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# Homework Help: Show that H is a subspace of M sub2x2, by finding a subset of H such that span(S) = H

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