Question

Give an example od a matrix which is diagonalizable iff trace not equal to zero

Answer 1

Answer:

Step-by-step explanation:

If that diagonal matrix has any zeroes on the diagonal, then A is not invertible. Otherwise, A is invertible. The determinant of the diagonal matrix is simply the product of the diagonal elements, but it's also equal to the determinant of A. ... For instance, the zero matrix is diagonalizable, but isn't invertible.