Problem 8. A linear transformation is called diagonalizable if under certain basis the associated matrix is a diagonal m
Posted: Thu May 12, 2022 12:33 pm
Problem 8. A linear transformation is called diagonalizable if under certain basis the associated matrix is a diagonal matrix. Let T:V + V be a linear transformation over F such that all the eigenvalues of T are contained in F and are simple roots of the characteristic polynomial. Prove that T is diagonalizable.