Consider the multiplication operator LA: R² R² defined by LA(x) = Ax where A = 6 [LAB= Hint: [LA] A where E is the standard basis. b₁ = -23 5 -100 22 b₂ = Find an ordered basis B = (b₁,b₂) for R² such that

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider the multiplication operator LA: R² R² defined by LA(x) = Ax where A =
[9] Find an ordered basis B = (b₁,b₂) for R² such that
[LA] B =
-23 5
-100 22
Hint: [LA] = A where
is the standard basis.
b₁ =
, b₂ =
Transcribed Image Text:[2 0 Consider the multiplication operator LA: R² R² defined by LA(x) = Ax where A = [9] Find an ordered basis B = (b₁,b₂) for R² such that [LA] B = -23 5 -100 22 Hint: [LA] = A where is the standard basis. b₁ = , b₂ =
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