T-8 -28 -13 12 Let A = -3 P = من من -421 -18. Find an invertible matrix P and a diagonal matrix D such that D = P-¹AP. 17 D=

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 21E: Suppose that A is an invertible matrix over and O is a zero matrix. Prove that if AX=O, then X=O.
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Let A
P =
=
-8
-28
-3 -13
3
12
-427
-18. Find an invertible matrix P and a diagonal matrix D such that D = P-¹AP.
17
P
, D =
Transcribed Image Text:Let A P = = -8 -28 -3 -13 3 12 -427 -18. Find an invertible matrix P and a diagonal matrix D such that D = P-¹AP. 17 P , D =
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