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4.6.P3 Let A € M₁, be given, suppose that is a positive coneigenvalue of A, and let X₁,...,x be coneigenvectors of A associated with A. Show that the vectors x₁,..., xk are linearly independent over C if and only if they are linearly independent over R.

4.6.P3 Let A € M₁, be given, suppose that is a positive coneigenvalue of A, and let X₁,...,x be coneigenvectors of A associated with A. Show that the vectors x₁,..., xk are linearly independent over C if and only if they are linearly independent over R.

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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4.6.P3 Let A e M, be given, suppose that 2 is a positive coneigenvalue of A, and let x1, ..., X be coneigenvectors of A associated with . Show that the vectors x1, ..., xg are linearly independent over C if and only if they are linearly independent over R.
Transcribed Image Text:4.6.P3 Let A e M, be given, suppose that 2 is a positive coneigenvalue of A, and let x1, ..., X be coneigenvectors of A associated with . Show that the vectors x1, ..., xg are linearly independent over C if and only if they are linearly independent over R.
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