Let s = {1, 2, 3} and T : Fun(S) +R' be the transformation T) = (10), se) – 2/), (9) – (2) and consider the ordered bases E = {X1. X2, xa the standard basis of Fun(S) F = {x1 + x2, xa - xa, xI - xa) a...


Let s = {1, 2, 3} and T : Fun(S) +R' be the transformation<br>T) = (10), se) – 2/), (9) – (2)<br>and consider the ordered bases<br>E = {X1. X2, xa the standard basis of Fun(S)<br>F = {x1 + x2, xa - xa, xI - xa) a basis of source Fun(S)<br>E' = {(1,0,0), (0,1,0), (0,0,1)} the standard basis of R<br>G = {(-1,-1,1), (1,2,0). (0,1,0)} a basis of target IR<br>%3D<br>Calculate the matrix M(T) representing T relative to input basis Band output basis C for the bases below:<br>ME (T)<br>-2<br>1.<br>-1<br>1<br>ME (T)<br>-3<br>2<br>2<br>-1<br>MG(T) -<br>MG(T) =<br>

Extracted text: Let s = {1, 2, 3} and T : Fun(S) +R' be the transformation T) = (10), se) – 2/), (9) – (2) and consider the ordered bases E = {X1. X2, xa the standard basis of Fun(S) F = {x1 + x2, xa - xa, xI - xa) a basis of source Fun(S) E' = {(1,0,0), (0,1,0), (0,0,1)} the standard basis of R G = {(-1,-1,1), (1,2,0). (0,1,0)} a basis of target IR %3D Calculate the matrix M(T) representing T relative to input basis Band output basis C for the bases below: ME (T) -2 1. -1 1 ME (T) -3 2 2 -1 MG(T) - MG(T) =

Jun 03, 2022
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