Question: 2. Let T : 1R2 ) R2 be a linear transformation, and suppose [T], the standard matrix representation of T, is given by 1 0

2. Let T : 1R2 ) R2 be a linear transformation,2. Let T : 1R2 ) R2 be a linear transformation,2. Let T : 1R2 ) R2 be a linear transformation,
2. Let T : 1R2 ) R2 be a linear transformation, and suppose [T], the standard matrix representation of T, is given by 1 0 [T] : [2 1] (a) Calculate T{l, l) and T(1,l). Use your answer to sketch how the square corresponding to the vectors (1, 1) and (1, l) is transformed When applying T. (b) What property of [T] implies the transformed square in (a) has the same area as the original square, and also involves a reflection? Clearly state the theory being used.(c) Give a geometrical specification of T

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