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**Question:**

By considering the images of the unit vectors (1 0)T and (0 1)T in R2 under the following transformations, find the matrix representing the transformation.

(i)Reflection in the line y = -x

(ii)Reflection in the line y = mx

(iii)Rotation (anticlockwise) through 60º

(iv)Rotation (anticlockwise) through general angle

*theta*

My Answer:

(i) i drew the x and y axis and i plotted (1 0)T and (0 1)T then i did the reflection of those pionts with respect to the line y=-x

(ii) STUCK

(iii) i drew the x and y axis and rotated anti clockwise by 60 degrees

(iv) STUCK

any tips would be much appreciated!