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Let A equal the 2x2 matrix: [1 -2] [2 -1] and let T=LA R2->R2. (Notice that...

Let A equal the 2x2 matrix:

[1 -2]

[2 -1]

and let T=LA R2->R2. (Notice that this means T(x,y)=(x-2y,2x-y), and that the matrix representation of T with respect to the standard basis is A.)

a. Find the matrix representation [T]BB where B={(1,1),(-1,1)}

b. Find an invertible 2x2 matrix Q so that [T]B = Q-1AQ

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