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1. Let A be an inevirtible m ine invertible matrix. and an eigenvalue of A. Prove, using the definition of an eigenvalue, that eigenvalue of A-1 is an $1(d_0_P)]=W!_k DEW 2. IF A is an invertible matrix that is diagonalisable, prove that A¹ is diagonalisable

1. Let A be an inevirtible m ine invertible matrix. and an eigenvalue of A. Prove, using the definition of an eigenvalue, that eigenvalue of A-1 is an $1(d_0_P)]=W!_k DEW 2. IF A is an invertible matrix that is diagonalisable, prove that A¹ is diagonalisable

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question pla 23 24 1. Let A be an inevirtible m ine invertible matrix and X an eigenvalue of A. Prove, using the definition of an eigenvalue, that eigenvalue of A is an Elt wede 2. IF A is an invertible matrix that is diagonalisable, prove that A¹ is diagonalisable HT
Transcribed Image Text:Question pla 23 24 1. Let A be an inevirtible m ine invertible matrix and X an eigenvalue of A. Prove, using the definition of an eigenvalue, that eigenvalue of A is an Elt wede 2. IF A is an invertible matrix that is diagonalisable, prove that A¹ is diagonalisable HT
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