Question 259228: use the matrix [ 0 1 ]
[-1 0 ]
to rotate polygon ABCD with coordinates A(0,0) B(4,1) C(5,-1) and D(-2,-3) about the origin. graph and describe the answer. do you think you could help? please?
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! We have a 2x2 matrix of the form
0....1
-1..0.
Take this matrix and multiply it by each of your coordinates
Originally, we had the following coordinates:
A(0,0) B(4,1) C(5,-1) and D(-2,-3)
multiplying the 2x2 matrix with A, we get A' = [0...... 0]
multiplying the 2x2 matrix with B, we get B' = [1......-4]
multiplying the 2x2 matrix with C, we get C' = [-1....-5]
multiplying the 2x2 matrix with D, we get D' = [-3....2]
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graph the original set and the new prime set.
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