Problem 1. Triangulate the following matrix A, that is find an upper- triangular matrix S and an invertible matrix C such that A = CSC-1. You must use the method based on the 3rd Homomorphism theorem, involving the computation of the matrix of T. -4 1 -1 A = -8 2 -3 1 0 -1 The characteristic polynomial of A is f(X) = -(A+1)³.

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Problem 1. Triangulate the following matrix A, that is find an upper-
triangular matrix S and an invertible matrix C such that A = CSC-1. You
must use the method based on the 3rd Homomorphism theorem, involving
the computation of the matrix of T.
-4 1 -1
-8 2 -3
0 -1
A =
1
The characteristic polynomial of A is f(A) = -( +1)³.
Transcribed Image Text:Problem 1. Triangulate the following matrix A, that is find an upper- triangular matrix S and an invertible matrix C such that A = CSC-1. You must use the method based on the 3rd Homomorphism theorem, involving the computation of the matrix of T. -4 1 -1 -8 2 -3 0 -1 A = 1 The characteristic polynomial of A is f(A) = -( +1)³.
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