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Determine the characteristic polynomial of the matrix 1 1 0-1 0 2x 1 0 0 0 1 A= = 1 X 2 0 X Find the values of x E C such that the matrix M is invertible. When A is not invertible, find the JNF of A and its minimal polynomial. Find an invertible matrix P such that P-¹AP = J.

Determine the characteristic polynomial of the matrix 1 1 0-1 0 2x 1 0 0 0 1 A= = 1 X 2 0 X Find the values of x E C such that the matrix M is invertible. When A is not invertible, find the JNF of A and its minimal polynomial. Find an invertible matrix P such that P-¹AP = J.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine the characteristic polynomial of the matrix 1 10 X 0 -1 0 2x 1 0 000 1 A = 1 X 2 Find the values of x E C such that the matrix M is invertible. When A is not invertible, find the JNF of A and its minimal polynomial. Find an invertible matrix P such that P-¹AP = J.
Transcribed Image Text:Determine the characteristic polynomial of the matrix 1 10 X 0 -1 0 2x 1 0 000 1 A = 1 X 2 Find the values of x E C such that the matrix M is invertible. When A is not invertible, find the JNF of A and its minimal polynomial. Find an invertible matrix P such that P-¹AP = J.
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