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**Unformatted text preview: **T ( rA ) = ( rA ) 1 1 = r A 1 1 , and this follows from the associative property of matrix and scalar multiplication. 3. (3 points) Suppose you know that a transformation T : R 2 R 2 does the following things T 1 = -2 5 , T 1 1 = -1 1 . 1 Find the matrix representation A T of T . The matrix representation of T is given by A T = T 1 T 1 . We know the rst column, but we need to determine the second. T 1 = T 1 1 - 1 = T 1 1 -T 1 = 1-4 , where we used the linearity of T for the second equality. This gives A T = -2 1 5-4 2...

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