grandes-ecoles 2010 QIID1

grandes-ecoles · France · centrale-maths2__pc Matrices Diagonalizability and Similarity
We assume in this question that $\mathbb { K }$ is equal to $\mathbb { C }$.
Show that two non-zero matrices of $\mathcal { M } _ { 0 } ( 2 , \mathbb { C } )$ are similar if and only if they have the same characteristic polynomial.
We assume in this question that $\mathbb { K }$ is equal to $\mathbb { C }$.

Show that two non-zero matrices of $\mathcal { M } _ { 0 } ( 2 , \mathbb { C } )$ are similar if and only if they have the same characteristic polynomial.