Given basis B={(1,2),(0,-1)} for R², basis B'={(1,0,0),(1,1,0),(1,1,1)} for R³, and linear 8 transformation T:R²→R³ defined by T(x,y)=(-2x+9y,-8x+3y,-5x+7y), find the matrix of T relative to B and B'.

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06-06-2024
Mathematics

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Given basis B={(1,2),(0,-1)} for R², basis B'={(1,0,0),(1,1,0),(1,1,1)} for R³, and linear 8 transformation T:R²→R³ defined by T(x,y)=(-2x+9y,-8x+3y,-5x+7y), find the matrix of T relative to B and B'.

Sagot :

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Given basis B={(1,2),(0,-1)} for R², basis B'={(1,0,0),(1,1,0),(1,1,1)} for R³, and linear 8 transformation T:R²→R³ defined by T(x,y)=(-2x+9y,-8x+3y,-5x+7y), find the matrix of T relative to B and B'.

Sagot :

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