Consider the systenm X' = AX. where A is 2×2 matrix. If D(x) =| (1+2r)e for given system. Then the F.M. e for the given system is is the F.M 2e 4te (1+2r)e" 0.5 2e" 07 4te* -0.5 1 b) 2e (1+27)e 4te ex 0.5 -0.5 e (1+2r)e“ To 2et 0.5 4te 1 -0.5 e (1+2t)e" 0.5 2e 4te -0.5

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 60EQ
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Consider the systenm X= AX. where A is 2×2 matrix. If D(x) =
(1+21)e"
2e
for given system. Then the F.M. e for the given system is
is the F.M
4te*
e
(1+21)e 0.5
07
- 0.5 1
2e
4te"
et
(1+27)e"
0.5
2e
4te
0.5
1
(1+2r)e"0 0.5
2e
4te
1 -0.5
ex
(1+ 2r)e"
0.5]
4te
-0.5
Transcribed Image Text:Consider the systenm X= AX. where A is 2×2 matrix. If D(x) = (1+21)e" 2e for given system. Then the F.M. e for the given system is is the F.M 4te* e (1+21)e 0.5 07 - 0.5 1 2e 4te" et (1+27)e" 0.5 2e 4te 0.5 1 (1+2r)e"0 0.5 2e 4te 1 -0.5 ex (1+ 2r)e" 0.5] 4te -0.5
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