Question: 1) . L e t T : R 2 R 2 b e a l i n e a r t r a n s
1) .LetT:R2R2bealineartransformationgivenbyT(x,y)=(x+y,xy).FindthematrixforTrelativetothebasesB={(1,1),(1,0)}andB={(1,0),(1,2)}.
2.) GiventhebasesB={(1,1),(1,0)}andB={(1,0),(1,2)}ofR2,findthetransitionmatrixfromBtoB.
3.)LetT:R2R2bealineartransformationgivenbyT(x,y)=(x+y,xy).GiventhebasesB={(1,1),(1,0)}andB={(1,0),(1,2)}ofR2,compute[v]B,wherev=(2,3).
4.) LetT:R2R2bealineartransformationgivenbyT(x,y)=(x+y,xy).GiventhebasesB={(1,1),(1,0)}andB={(1,0),(1,2)}ofR2,compute[v]B,wherev=(2,3).
5.) LetT:R2R2bealineartransformationgivenbyT(x,y)=(x+y,xy).GiventhebasesB={(1,1),(1,0)}andB={(1,0),(1,2)}ofR2,compute[T(v)]B,wherev=(2,3).
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