Question: For a linear transformation T:R^(2)->R^(2) , we have: T(e_(1))=[[-1],[1]] and T(e_(2))=[[-3],[5]] . For another linear transformation S:R^(2)->R^(2) , we have: S(e_(1))=[[1],[-2]] and S(e_(2))=[[3],[-1]] . Then
For a linear transformation
T:R^(2)->R^(2), we have:\
T(e_(1))=[[-1],[1]]and
T(e_(2))=[[-3],[5]].\ For another linear transformation
S:R^(2)->R^(2), we have:\
S(e_(1))=[[1],[-2]]and
S(e_(2))=[[3],[-1]].\ Then
(S@T)[[-2],[-3]]=[[, /# ],[, /# ],[,]] ![For a linear transformation T:R^(2)->R^(2), we have:\ T(e_(1))=[[-1],[1]] and T(e_(2))=[[-3],[5]].\ For](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/09/66f3a09195431_38566f3a091303bf.jpg)
For a linear transformation T:R2R2, we ha T(e1)=[11] and T(e2)=[35]. For another linear transformation S:R2R2, S(e1)=[12] and S(e2)=[31]. Then (ST)[23]=[ For a linear transformation T:R2R2, we ha T(e1)=[11] and T(e2)=[35]. For another linear transformation S:R2R2, S(e1)=[12] and S(e2)=[31]. Then (ST)[23]=[
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