PPT-13.1 Matrices and Their Sums

A is a rectangular arrangement of numbers in rows and columns Matrix A below has two rows and three columns The of matrix A are 2X3 two by three rows then columns The numbers in the matrix are called . Such matrices has several attractive properties they support algorithms with low computational complexity and make it easy to perform in cremental updates to signals We discuss applications to several areas including compressive sensing data stream Most of the analysis in BX04 concerns a doubly nonnegative matrix that has at least one o64256diagonal zero component To handle the case where is componentwise strictly positive Berman and Xu utilize an edgedeletion transformation of that results in SUMS MEMBERS. ANDREA BUTTLE. Worked for SUMS since 2001. Have worked for 37 universities in that time from Solent to Cambridge. Reviewed timetabling at 19 universities. Wrote the SUMS good practice guide to teaching space management 2004. Riemann Sums. -Left, Right, Midpoint, Trapezoid. Summations. Definite Integration. We want to think about the region contained by a function, the x-axis, and two vertical lines x=a and x=b. . a. Section 5.2a. First, we need a reminder of . sigma notation:. How do . we evaluate. :. …and what happens if an “infinity” symbol appears. above the sigma???.  The terms go on indefinitely!!!. Rizzi – . Calc. BC. The Great Gorilla Jump. The Great Gorilla Jump. Left-Hand Riemann Sum. Right-Hand Riemann Sum. Over/Under Estimates. Riemann Sums Summary. Way to look at accumulated rates of change over an interval. Objectives: You should be able to. …. Formulas. The goal in this section is to find the sum of an infinite geometric series. However, this objective is very closely connected to the limit of an infinite sequence. . 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. Partial Sums. An Addition Algorithm. Created by Rina Iati, South Western School District, Hanover, PA. . 2. 6. 8. . 4. 8. 3. 600. Add the . hundreds. (. 200 400). Add the . tens . (60 80). A . matrix. . M. is an array of . cell entries. (. m. row,column. ) . that have . rectangular. . dimensions. (. Rows x Columns. ).. Example:. 3x4. 3. 4. 15. x. Dimensions:. A. a. row,column. A. All graphics are attributed to:. Calculus,10/E. by Howard Anton, Irl Bivens, and Stephen Davis. Copyright © 2009 by John Wiley & Sons, Inc. All rights reserved.”. Introduction. The purpose of this section is to discuss sums that contain infinitely many terms. Type I and Type III Sums of Squares. 1. Confounding in Unbalanced Designs. When designs are “unbalanced”, typically with missing values, our estimates of Treatment Effects can be biased.. When designs are “unbalanced”, the usual computation formulas for Sums of Squares can give misleading results, since some of the variability in the data can be explained by two or more variables.. What is a matrix?. A Matrix is just rectangular arrays of items. A typical . matrix . is . a rectangular array of numbers arranged in rows and columns.. Sizing a matrix. By convention matrices are “sized” using the number of rows (m) by number of columns (n).. Rotation of coordinates -the rotation matrixStokes Parameters and unpolarizedlight1916 -20041819 -1903Hans Mueller1900 -1965yyxyEEEElinear arbitrary anglepolarization right or left circularpolarizati