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Let T V W be an isomorphism. {T(v₁),..., T(vn)} is a basis for W. Prove that if {v₁,..., Vn} is a basis for V, then

Let T V W be an isomorphism. {T(v₁),..., T(vn)} is a basis for W. Prove that if {v₁,..., Vn} is a basis for V, then

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(c) Let T V W be an isomorphism. {T(v₁),...,T(vn)} is a basis for W. Prove that if {v₁,...,Vn} is a basis for V, then
Transcribed Image Text:(c) Let T V W be an isomorphism. {T(v₁),...,T(vn)} is a basis for W. Prove that if {v₁,...,Vn} is a basis for V, then
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