Question: Can anyone explain this question? The linear transformation L : IR2 -> R2 is constructed as this composite. 1. First transform e1 = (1, 0)

Can anyone explain this question?

Can anyone explain this question? The linear transformation L : IR2 ->

The linear transformation L : IR2 -> R2 is constructed as this composite. 1. First transform e1 = (1, 0) into r = (8, 5) and e2 = (0, 1) into s = (12, 22), 2. then rotate about the origin counterclockwise through the angle of , 3. then rescale all of IR by the factor v2. If A is the matrix which represents L, then -5*sqrt(2 [-22*sqrt A = 8*sqrt(2 12*sqrt(: Further, the matrix representing the total derivative of L at a = (-6, 24) is: -5*sqrt(2 -22*sqrt DaL = 8*sqrt(2: 12*sqrt(: Your answer is partially correct. 3 -10 A correct answer is 13 34 3 -10 A correct answer is 13 34

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