Teaching CSIR NET Mock Test Series Mathematical Science Linear Algebra Linear Dependence, Basis & Dimension
Let M5(ℂ) be the complex vector space of 5 × 5 matrices with entries in C. Let V be a non-zero subspace of M5(ℂ) such that every non-zero A ∈ V is invertible. Which among the following are possible values for the dimension of V?
1
1
2
2
3
3
4
5