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Consider the set of all vectors \(3\times3\) real matrices \(A\) for which
- \(\text{Tr}(A)=0\)
- \(\det A=0\)
- \(A_{11}>0\)
- \(A_{11}, A_{22}, A_{33}\), all equal to zero
- \(A^{\text{T}}=A\)
- \(A^\text{T}=-A\)
Here \(A^\text{T}\) means the transpose of the matrix \(A\). In which of these cases do the set of all matrices \(A\) form a vector space?
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4727:Diamond Point
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