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

Which of the following subsets of R^n*n are in fact subspaces of R^n*n

1) The symmetric matrices

2) The diagonal matrices

3) The nonsingular matrices

4) The singular matrices

5) The triangular matrices

6) The upper triangular matrices

7) All matrices that commute with a given matrix A

8) All matices such that A^2 = A

9) All matrices such that trace(A) = 0

Can anyone give me a detailed solution for this questions?

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Subspace problems

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