Question

Let Is A iagonalizable? Find an upper triangular matrix B and a unitary matrix P such that B- P-1AP.

Answer 1

le+s Cherk Ann of efgem value (-2) 2 Now I M 2) -4 2

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some definations

(1)

A matrix A is said to be diagonalisable if there exists a diagonal matrix (say) B and an invertible matrix (say) P such that

B=P^-1AP

(2)

If AM(eigenvalue ) = GM (of eigen value )

then A is diagonalisable

in case of repeated eigen values

however if all eigen values are distinct then matrix is always diagonalisable

thanks have a good weekend !