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Let e1, e2, e 3 be the standard unit vectors along the coordinate axes in R³. Let S and T be the linear transformations defind in R³. Show that if S(है) = T(ढ), S(े) = T(ढे.), S(टे 3) %= T(े ;) then S(7) = T(7) for 7 E R³. any

Let e1, e2, e 3 be the standard unit vectors along the coordinate axes in R³. Let S and T be the linear transformations defind in R³. Show that if S(है) = T(ढ), S(े) = T(ढे.), S(टे 3) %= T(े ;) then S(7) = T(7) for 7 E R³. any

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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Let e1, e2, èz be the standard unit vectors along the coordinate axes in R³. Let S and T be the linear transformations defind in R³. Show that if S(टे) = T(टे), S( हे ) %3D T(टे.), S(टेs) = T(ेs) then S(7) = T(7) for any 7 e R³.
Transcribed Image Text:Let e1, e2, èz be the standard unit vectors along the coordinate axes in R³. Let S and T be the linear transformations defind in R³. Show that if S(टे) = T(टे), S( हे ) %3D T(टे.), S(टेs) = T(ेs) then S(7) = T(7) for any 7 e R³.
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