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Step 3: Find a possible basis for the smaller eigenvalue å1.

Step 3: Find a possible basis for the smaller eigenvalue å1.

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 -2 A =|2 2 -2 4 Step 3: Find a possible basis for the smaller eigenvalue å1. There are infinitely many possibilities but we will restrict ourselves to fill in only either 1 or 0. In case you need only one vector, fill the vector on the left with numbers as instructed and fill in each of the entries of the extra vector on the right with X's (Capital X). Answer: a basis for the eigenspace corresponding to the smaller eigenvalue Aj is a d where a= , bD , d= C= are all positive integers with no common divisor.
Transcribed Image Text:4 -2 A =|2 2 -2 4 Step 3: Find a possible basis for the smaller eigenvalue å1. There are infinitely many possibilities but we will restrict ourselves to fill in only either 1 or 0. In case you need only one vector, fill the vector on the left with numbers as instructed and fill in each of the entries of the extra vector on the right with X's (Capital X). Answer: a basis for the eigenspace corresponding to the smaller eigenvalue Aj is a d where a= , bD , d= C= are all positive integers with no common divisor.
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