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be the set of all vectors in Space Let let e = ( e,, eryes) be a positively oriented ON base in space, Qud de fine the line ak image. = V+ (a x v) fer alf v E V Determine the matria A Q= e, + e2 teg, fon V do v by making fer in' the bude e Also justi fy that for each given vettor vtV there is that Vt Cax v) = U. Also determi ne this unambiguosty determ:ued vettor vEV Such unambiguosly deternined V= 7e, + hee tbez ve ctor v if MATRIX A= una mþi quosly deter minel vecter +es The

be the set of all vectors in Space Let let e = ( e,, eryes) be a positively oriented ON base in space, Qud de fine the line ak image. = V+ (a x v) fer alf v E V Determine the matria A Q= e, + e2 teg, fon V do v by making fer in' the bude e Also justi fy that for each given vettor vtV there is that Vt Cax v) = U. Also determi ne this unambiguosty determ:ued vettor vEV Such unambiguosly deternined V= 7e, + hee tbez ve ctor v if MATRIX A= una mþi quosly deter minel vecter +es The

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 34EQ
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V be the set of all vectors in Space. Le = ( e,, e,c3) be a positi vely oriented a= e, + e2 teg, V by making Let let ON base in space, do line ar image. Eon Qud de fine the F(u) = V+ (a xv) for all V E V Determine the matria A for F in' the bude Also justi fy that there is that Vt Cax v) =U. Also determi ne this ve cter for each a Unambiguosly determ:ued vettor vEV given vectorotV Such s unambiguesly deternined if U= 7e, t hez tbez MATRIX A= una mpi quosly deter minel vectar Da + Dez +Ee, The
Transcribed Image Text:V be the set of all vectors in Space. Le = ( e,, e,c3) be a positi vely oriented a= e, + e2 teg, V by making Let let ON base in space, do line ar image. Eon Qud de fine the F(u) = V+ (a xv) for all V E V Determine the matria A for F in' the bude Also justi fy that there is that Vt Cax v) =U. Also determi ne this ve cter for each a Unambiguosly determ:ued vettor vEV given vectorotV Such s unambiguesly deternined if U= 7e, t hez tbez MATRIX A= una mpi quosly deter minel vectar Da + Dez +Ee, The
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