Give an example of a rotation of a shape in the plane using a change of base.discuss how the "usual" basis {(1,0) and (0,1)} can be limiting. Does this suggest why other bases might be better in certain circumstances?

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Give an example of a rotation of a shape in the plane using a change of base.discuss how the "usual" basis {(1,0) and (0,1)} can be limiting. Does this suggest why other bases might be better in certain circumstances?

Mathematics
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I am referring to rotating the x and y axis

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