Q.2 Consider a linear system whose augmented matrix is of the form [5 — В 4 2 A = 4 5 - B 2 2 2 2 - B o. For what value of B the system of equations can have non trivial solutions (by row reduction method). Find these solutions

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 76E: Define T:P2P2 by T(a0+a1x+a2x2)=(2a0+a1a2)+(a1+2a2)xa2x2. Find the eigenvalues and the eigenvectors...
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Linear Algebra Question.

Q.2 Consider a linear system whose augmented matrix is of the form
[5-B
4
2
A =
4
5 - B
2
2
2
2 - B o.
For what value of ß the system of equations can have non trivial solutions (by row
reduction method). Find these solutions
Transcribed Image Text:Q.2 Consider a linear system whose augmented matrix is of the form [5-B 4 2 A = 4 5 - B 2 2 2 2 - B o. For what value of ß the system of equations can have non trivial solutions (by row reduction method). Find these solutions
Q.4 Find bases for eigen spaces of A
7
-2
1
A =
-2 15 -2
-2
Write down the condition on eigen vectors to form bases for eigen spaces.
Transcribed Image Text:Q.4 Find bases for eigen spaces of A 7 -2 1 A = -2 15 -2 -2 Write down the condition on eigen vectors to form bases for eigen spaces.
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