Question: A. Suppose that F:R2-->R2 is a linear map such that F(1,1)=(1,0) and F(1,-1)=(3,2) find its standard matrix B. Suppose T:R3-->R3 is a linear transformation such

A. Suppose that F:R2-->R2 is a linear map such that F(1,1)=(1,0) and F(1,-1)=(3,2)

find its standard matrix

B. Suppose T:R3-->R3 is a linear transformation such that T([-2,3,-4])= [5,3,14]

T([3,-2,3])=[-4,6,-14]

T([-4,-5,5])=[-6,-40,-2]

what is the standard matrix for T?

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