PPT-( Part I - Matrices) The Math Lecture

Introduction For 2D games we use a lot of trigonometry For 3D games we use a lot of linear algebra Most of the time we dont have to use calculus A matrix can Translate move a vertex. Positive de64257nite matrices ar e even bet ter Symmetric matrices A symmetric matrix is one for which A T If a matrix has some special pr operty eg its a Markov matrix its eigenvalues and eigenvectors ar e likely to have special pr operties as we The following are equivalent is PSD ie Ax for all all eigenvalues of are nonnegative for some real matrix Corollary Let be a homogeneous quadratic polynomial Then for all if and only if for some Rudi Pendavingh TUE Semide64257nite matrices Con Last time we constructed truth tables for 3 of the 5 connectives. Let’s continue with the truth tables for the other two. . MATH 110 Sec 3-3 Lecture on Truth Tables . Three of the five Truth Tables for our connectives. Non-Academic . Careers in Mathematics. Math majors. High school math teachers. College & university math faculty (teachers, researchers). What about . non-academic . careers for math majors?. Raytheon…. PHY 711 Fall 2016 -- Lecture 37. 1. PHY . 7. 11 Classical Mechanics and Mathematical Methods. 11-11:50 AM MWF Olin 107. Plan for Lecture 37. Review of mathematical methods –. More comments on complex numbers. Matrix Multiplication. Matrix multiplication is defined differently than matrix addition. The matrices need not be of the same dimension. Multiplication of the elements will involve both multiplication and addition. Useful Functions of Arrays and Matrices. Codes. Function. fliplr. Flips matrix from left to right. flipud. Flips matrix up to down. permute. Rearranges dimensions of N-D array. repmat. Replicates and tile array. Mark Hasegawa-Johnson. 9/12/2017. Content. Linear transforms. Eigenvectors. Eigenvalues. Symmetric matrices. Symmetric positive definite matrices. Covariance matrices. Principal components. Linear Transforms. Objectives: to represent translations and dilations w/ matrices. : to represent reflections and rotations with matrices. Objectives. Translations & Dilations w/ Matrices. Reflections & Rotations w/ Matrices. RASWG 12/02/2019. Jan Uythoven, Andrea Apollonio, . Miriam Blumenschein . Risk Matrices. Used in RIRE method. Reliability Requirements and Initial Risk . Estimation (RIRE). Developed by Miriam Blumenschein (TE-MPE-MI). MATRICES. Una matriz es todo arreglo rectangular de números reales . . definidos en filas y/o columnas entre paréntesis o corchetes. Así tenemos:. NOTACION MATRICIAL. . Las matrices se denotan por letras mayúsculas y los elemento se designan con . Rotation of coordinates -the rotation matrixStokes Parameters and unpolarizedlight1916 -20041819 -1903Hans Mueller1900 -1965yyxyEEEElinear arbitrary anglepolarization right or left circularpolarizati This Slideshow was developed to accompany the textbook. Precalculus. By Richard Wright. https://www.andrews.edu/~rwright/Precalculus-RLW/Text/TOC.html. Some examples and diagrams are taken from the textbook.. . 1. Administrative. HW0 due . tomorrow. , 1/29 11:59pm. HW1 due . 1 week from tomorrow. , 2/5 11:59pm. . 2. Last Time: Floating Point Math. . 3. S. Exponent. Fraction. 8 bits. 2. 127. ≈ 10.