B E M2,2(R) a2x2 matrix

i have the subset U={A E M2,2(R):AB=-BA}

show U is a linear subspace of M2,2

I can only solve the problem when i have AB=BA

But i am stuck on AB=-BA.

Thanks for taking attention to this post ,thank you

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- Aug 26th 2010, 08:42 PMjhtlinear subspace of M2,2
B E M2,2

**(R) a**2x2 matrix

i have the subset U={A E M2,2**(R**):AB=-BA}

show U is a linear subspace of M2,2

I can only solve the problem when i have AB=BA

But i am stuck on AB=-BA.

Thanks for taking attention to this post ,thank you - Aug 26th 2010, 09:07 PMIsomorphism
Where exactly are you stuck?

I also advise you use Latex in your posts, so that we can read your posts easily. This will encourage people to laak at your problems. It is very hard to understand your problem the way it is typed now.