Computer Animation, 3rd Edition

APPENDIX B

Background Information and Techniques

B.1 Vectors and matrices

A vector is a one-dimensional list of values. This list can be shown as a row vector or a column vector (e.g., Eq. B.1). In general, a matrix is an n-dimensional array of values. For purposes of this book, a matrix is two-dimensional (e.g., Eq. B.2).

(B.1)

(B.2)

Matrices are multiplied together by taking the ith row of the first matrix and multiplying each element by the corresponding element of the jth column of the second matrix and summing all the products to produce the ...