06-240/Homework Assignment 7

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Read sections 2.4, 3.1 and 3.2 in our textbook. Remember that reading math isn't like reading a novel! If you read a novel and miss a few details most likely you'll still understand the novel. But if you miss a few details in a math text, often you'll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you've read. Also, preread section 2.5, just to get a feel for the future.

Solve problems 1, 2, 4 and 9 on pages 106-107, problems 1, 2 and 9 on pages 151-152 and problems 1, 2aceg, 2bdf, 7, 19 and 21 on pages 165-168 but submit only your solutions of the underlined problems. This assignment is due at the tutorials on Thursday November 16.

Just for fun. Do a web search for the words "OpenGL" and "matrix" (or "matrices") and find out why graphics accelerators in PCs and game consoles do $4\times 4$ (!) matrix multiplications in hardware. (The full explanation is very involved; perhaps you should just aim to get a taste of it).

A famed creature that owes its mobility to 4x4 matrices.