Amanda simplifies the following expression and shows her work below. What mistake did Amanda make that resulted in an incorrect
1 answer:
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Answer:
Step-by-step explanation:
Let General Transformation matrix be denoted as T
Step 1: Clockwise rotation of 45 degrees
General counterclockwise rotation matrix in 2-dimension is given as
For clockwise rotation we need to insert θ as negative in the above matrix. Therefore, the resulting matrix is
as sin(-θ) = -sin (θ) and cos(-θ) = cos (θ)
For 45 degrees
and
Step 2: Reflection through line y = x
This type of reflection maps (x,y)→(y,x)
Therefore the general matrix is
Step 3: General Transformation Matrix
T = R(x,y) R(-θ)