Show that T is a linear transformation by finding a matrix that implements the mapping. Note that X₁, X2, vectors but are entries in a vector. A = T(X₁ X₂ X3 X4) = 3x₁ + 4x₂ − 3x3 + x4 X2 (T: R→R) are not

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Show that T is a linear transformation by finding a matrix that implements the mapping. Note that X₁, X2,
vectors but are entries in a vector.
A =
T(X₁ X₂ X3 X4) = 3x₁ + 4x₂ − 3x3 + x4
X2
(T: R→R)
are not
Transcribed Image Text:Show that T is a linear transformation by finding a matrix that implements the mapping. Note that X₁, X2, vectors but are entries in a vector. A = T(X₁ X₂ X3 X4) = 3x₁ + 4x₂ − 3x3 + x4 X2 (T: R→R) are not
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