Let V and V' be vector spaces over a field F and B = {b,, b2,.., b,} be a basis for V. Then there exists a unique linear transformation, t: V-→ V' for any list b', b,',., b,' of vectors in V', such that 1(b) = b,, i =1, 2,.., n.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let V and V' be vector spaces over a field F and B = {b,, b2,.., b,} be a
basis for V. Then there exists a unique linear transformation, t: V-→ V' for any list b', b,',., b,'
%3D
of vectors in V', such that
1(b) = b,,
i =1, 2,., n.
Transcribed Image Text:Let V and V' be vector spaces over a field F and B = {b,, b2,.., b,} be a basis for V. Then there exists a unique linear transformation, t: V-→ V' for any list b', b,',., b,' %3D of vectors in V', such that 1(b) = b,, i =1, 2,., n.
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