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Published byHolly Crawford Modified over 5 years ago
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ROTATION ROTATION ROTATION ROTATION ROTATION Pamela Leutwyler
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problem: Rx = the counterclockwise rotation of x through 30 degrees. Find a matrix for the linear mapping R.
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To find a matrix for a linear mapping relative to the standard basis,
We must observe the effect of the mapping on each basis vector: Rotate conterclockwise through 30 degrees: Rotate conterclockwise through 30 degrees: First column Second column
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= = the 30 degree rotation of
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This can be generalized:
= the degree rotation of
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