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5. Invert the 4×4 matrix
2
4 −0.1495 −0.1986 −0.9685
3
5
0
−0.8256
0.5640
0.0117
0
.
−0.5439 −0.8015
0.2484
0
1.7928
−5.3116
8.0151
1
6. Construct a 4×4 matrix to translate by [4, 2, 3].
7. Construct a 4×4 matrix to rotate 20 o about the x-axis and then translate
by [4, 2, 3].
8. Construct a 4×4 matrix to translate by [4, 2, 3] and then rotate 20 o about
the x-axis.
9. Construct a 4×4 matrix to perform a perspective projection onto the plane
x = 5. (Assume the origin is the center of projection.)
10. Use the matrix from the previous exercise to compute the 3D coordinates
of the projection of the point (105,−243, 89) onto the plane x = 5.
An attempt at visualizing the Fourth Dimension:
Take a point, stretch it into a line, curl it into a circle,
twist it into a sphere, and punch through the sphere.
— Albert Einstein (1879-1955)
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