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Part 2: Let A be a real eigenvalue of a matrix with real entries A. Show that the set VA = {x : Ax= \x} is a subspace of R". If you reduce your solution to a question about null be sure to include prove that null spaces are subspaces (but that's fine if you want to spaces, do it that way so long as your argument is clear, and correct of course). Hint: check the definition of subspace.

Part 2: Let A be a real eigenvalue of a matrix with real entries A. Show that the set VA = {x : Ax= \x} is a subspace of R". If you reduce your solution to a question about null be sure to include prove that null spaces are subspaces (but that's fine if you want to spaces, do it that way so long as your argument is clear, and correct of course). Hint: check the definition of subspace.

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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Part 2: Let A be a real eigenvalue of a matrix with real entries A. Show that the set VA = {x : Ax = \x} is a subspace of R". If you reduce your solution to a question about null spaces, be sure to include prove that null spaces are subspaces (but that's fine if you want to do it that way so long as your argument is clear, and correct of course). Hint: check the definition of subspace.
Transcribed Image Text:Part 2: Let A be a real eigenvalue of a matrix with real entries A. Show that the set VA = {x : Ax = \x} is a subspace of R". If you reduce your solution to a question about null spaces, be sure to include prove that null spaces are subspaces (but that's fine if you want to do it that way so long as your argument is clear, and correct of course). Hint: check the definition of subspace.
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