Question

is this matrix (0,0,-2),(1,2,1),(1,0,3) diagonalizable?

Answer 1

1 0 3 1 0 3 Yes
1 2 1 0 1 -1
0 0 -2 0 0 -1

Answer 2

you are allowed to rearrange rows.
you are allowed to multiply a row by a scaler.
you are allowed to add rows.

Using these 3 facts you can change the matrix so that it has 1's down the primary diagonal

Answer 3

ok got it , thanks