- #1
sara_87
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Hello all, can anyone help me with this question?
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!
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!