grandes-ecoles 2013 QIII.B.2

grandes-ecoles · France · centrale-maths2__psi Matrices Determinant and Rank Computation

Let $A \in M_p(\mathbb{K})$ be a diagonalizable matrix.
Show that $\det(E(A)) = e^{\operatorname{tr}(A)}$.

Let $A \in M_p(\mathbb{K})$ be a diagonalizable matrix.

Show that $\det(E(A)) = e^{\operatorname{tr}(A)}$.