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(Solved): Let T:R^(2)->R^(3) be defined by T([[x_(1)],[x_(2)]])=[[x_(1)+2x_(2)],[-x_(1)],[0]] a. Find the ...



Let T:R^(2)->R^(3) be defined by T([[x_(1)],[x_(2)]])=[[x_(1)+2x_(2)],[-x_(1)],[0]] a. Find the matrix [T]_(B^('),B) relative to the bases B={u_(1),u_(2)} and B^(')={v_(1),v_(2),v_(3)}, where u_(1)=[[1]] 3,u_(2)=[[-2]] 4 v_(1)=[[1]] 1 1,v_(2)=[[2]] 2 0,v_(3)=[[3]] 0 0


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