Answer to Question #81451 in Linear Algebra for Rozina

Question

Check whether the matrices A and B are diagonalisable. Diagonalise those matrices
which are diagonalisable.
i) A =


−2 −5 −1
3 6 1
−2 −3 1

 ii) B =


−1 −3 0
2 4 0
−1 −1 2

.
b) Find inverse of the matrix B in part a) of the question by finding the adjoint as well
as using Cayley-Hamiltion theorem.