grandes-ecoles 2019 Q2

grandes-ecoles · France · centrale-maths1__pc Matrices Matrix Algebra and Product Properties
Are the subsets $S_{2}(\mathbb{K})$ and $A_{2}(\mathbb{K})$ subalgebras of $\mathcal{M}_{2}(\mathbb{K})$?
Are the subsets $S_{2}(\mathbb{K})$ and $A_{2}(\mathbb{K})$ subalgebras of $\mathcal{M}_{2}(\mathbb{K})$?