B = (v1, V2, V3) is a basis of the vector space V and T: V → V is a linear transformation which satisfies T(v₁)= v₁ +20₂ + 203, T(v₂) = 2v1 + 2 + 303, T(v3) = 3v1 +202 +403. If v=v₁v₂ +2v3 then T(v) =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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B = (v1, V2, V3) is a basis of the vector space V and T: V→ V is a linear
transformation which satisfies
T(v₁)= v₁ +202 + 203,
T(v2) = 2v1 + 2 + 303,
T(v3) = 3v1 +202 +4v3.
If v = v₁v₂ +2v3 then T(v) =
-
Transcribed Image Text:B = (v1, V2, V3) is a basis of the vector space V and T: V→ V is a linear transformation which satisfies T(v₁)= v₁ +202 + 203, T(v2) = 2v1 + 2 + 303, T(v3) = 3v1 +202 +4v3. If v = v₁v₂ +2v3 then T(v) = -
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