- #1
xenogizmo
- 30
- 0
Hey Everyone,
I have this question on my assignment that's confusing me, I think I have the logic right, but for some reason I am getting the wrong answer..
Anyways the question states:
If S is the subspace of M5 (R) consisting of all matrices with trace 0, then dim(S) = ?
Now, I know the trace is the sum of entries in the main diagonal, so I assumed that all the elements on the diagonal are zero..
Which leaves me with 28 non-zero elements above the diagonal and 28 below, which gives a total of 56 elements.. hence a dimension of 56?
However that was wrong.. now I know that for a skew symmetrix matrix of 8x8 we'd have a dimesion of 28 since the ones above are the negative of the ones below.. can anyone please help me out?
I had 6 tries for the question.. and I only have one left! Any help would be greatly appreciated.. I tried 28, 56, and 60, all were wrong..
Thank you very much!
AZH
I have this question on my assignment that's confusing me, I think I have the logic right, but for some reason I am getting the wrong answer..
Anyways the question states:
If S is the subspace of M5 (R) consisting of all matrices with trace 0, then dim(S) = ?
Now, I know the trace is the sum of entries in the main diagonal, so I assumed that all the elements on the diagonal are zero..
Which leaves me with 28 non-zero elements above the diagonal and 28 below, which gives a total of 56 elements.. hence a dimension of 56?
However that was wrong.. now I know that for a skew symmetrix matrix of 8x8 we'd have a dimesion of 28 since the ones above are the negative of the ones below.. can anyone please help me out?
I had 6 tries for the question.. and I only have one left! Any help would be greatly appreciated.. I tried 28, 56, and 60, all were wrong..
Thank you very much!
AZH