L is the left multiplication transformation defined by = Ax L₁(x) = A=[T] vector space and Suppose T: R² R² defined by Then the matrix for every vector in the domain T(x, y) = (-)-(3)--00) 00 (x + = B= A=(TI-[31] 4 and

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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How to get the matrix A with the alpha and beta by the linear transformation here? Please show me the procedure. Thank you!

L is the left multiplication transformation defined by L₁(x) = Ax for every vector in the domain
A=[T]
vector space and
Suppose T:R² → R² defined by
Then the matrix
T(x, y) = (x + y )
-(r*,) a= {(2)(0)}
"
-3
^-01-21]
4
and
-{(-)-0}
ß=
Transcribed Image Text:L is the left multiplication transformation defined by L₁(x) = Ax for every vector in the domain A=[T] vector space and Suppose T:R² → R² defined by Then the matrix T(x, y) = (x + y ) -(r*,) a= {(2)(0)} " -3 ^-01-21] 4 and -{(-)-0} ß=
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