Suppose a transformation l: ℝ3 → ℝ3 satisfies l
100
=
−2
00
, l
010
=
010
and l
001
=
00
−2

i. what is the matrix a that represents the transformation l?
ii. what is the geometric effect of the transformation l?
iii. sketch the image of the unit cube after transformation by l.

Which of the following transformations will make coincide with ? a. counter-clockwise rotation 90º about a, followed by a translation 5 units to the right b. translation 5 units to the right, followed by a reflection across the y-axis c. translation 5 units to the right, followed by a reflection across the x-axis d. translation 1 unit up and 5 units to the right, followed by a reflection across the x-axis