LINEAR ALGEBRA   Linear transformations are useful in computer graphics and can be used to rotate or translate figures in two-dimensional space. Begin with a triangle with vertices: A (0,0), B (1,0), and C (0,1) a) Sketch and give the coordinates of the new triangle, after transformation T1: a reflection of the original triangle in the x-axis. b) Sketch and give the coordinates of the new triangle, after transformation T2: a rotation of the original triangle around the origin of ? = 135 degrees c) Sketch and give the coordinates of the new triangle, after transformation T3: an expansion of the original triangle represented by ?3 (x, y) = (3x, y)

LINEAR ALGEBRA

Linear transformations are useful in computer graphics and can be used to rotate or
translate figures in two-dimensional space.
Begin with a triangle with vertices: A (0,0), B (1,0), and C (0,1)
a) Sketch and give the coordinates of the new triangle, after transformation T1: a reflection of the
original triangle in the x-axis.
b) Sketch and give the coordinates of the new triangle, after transformation T2: a rotation of the original
triangle around the origin of ? = 135 degrees
c) Sketch and give the coordinates of the new triangle, after transformation T3: an expansion of the
original triangle represented by ?3
(x, y) = (3x, y)
d) Sketch and give the coordinates of the new triangle, after transformation T4: the shear of the original
triangle represented by ?4
(x, y) = (x, y + 4x)