2x2 Matrix Transformations
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|-1 0| |0 1|
reflection over y axis
|0 -1| |-1 0|
reflection over y=-x
|0 1| |1 0|
reflection over y=x
|-1 0| |0 -1|
rotation 180 degrees
|x 0| |0 x|
dilation by a factor of n
|1 0 | |0 1 |
identity
matrices for reflections have a positive or negative determinant?
negative
matrices for rotations have a positive or negative determinant?
positive
|1 0| |0 -1|
reflection over x axis
|0 1| |-1 0|
rotation 270 degrees counter clockwise
|0 -1| |1 0|
rotation 90 degrees counter clockwise