PLEASE ANSWER AND JUSTIFY ANSWER WITH EXAMPLE OR THEOREM OR

PLEASE ANSWER AND JUSTIFY ANSWER WITH EXAMPLE OR THEOREM OR REFERENCE TO CORRILARIES

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

Solution

True

Because non defective means it should have 3 eigen vectors for 3*3 matrix

Given matrix has 3 eigen values which has 3 eigen values hence it is non defective