Decide whether each statement below is TRUE or FALSE and jus

Decide whether each statement below is TRUE or FALSE, and justify your answers. If the eigenvalues of a 3 Times 3 matrix A are lambda = -1,3,6, then A is nondefective.

Solution

The given matrix has three DIFFERENT eigenvalues, so it will have different eigenvectors. So it is diagonalisable. Therefore, it is NONDEFECTIVE matrix.

Ans: TRUE