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


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