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3. Find the linear transformation T : R2 → R2 described geometrically by “first rotate coun-...

3. Find the linear transformation T : R2 → R2 described geometrically by “first rotate coun- terclockwise by 60◦, then reflect across the line y = x, then scale vectors by a factor of 5”. Is this linear transformation invertible? If so, find the matrix of the inverse transformation.

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