PPT-Matrix Multiply Methods

Some general facts about matmul High computation to communication hides multitude of sins Many symmetries meaning that the basic On 3 algorithm can be reordered many ways As always must imagine data tied to a processor or data in other ways. Software Engineering. Don Batory, Bryan Marker, . Rui . Gonçalves. , Robert van de Geijn, and Janet Siegmund. Department of Computer Science. University of Texas at Austin. Austin, Texas 78746. DxT-. Transform 2. COMP . 175: Computer . Graphics. February . 17, 2015. How do you multiply a (3x3) matrix by 3D vector?. How do you multiply two 3x3 matrices?. Given this matrix: . , what are the 4 basis vectors?. Section 1.6. Algebraic Properties of Matrix Operations. Zero Matrix. The zero matrix is a matrix in which every entry is zero. This is sometimes denoted . or . . For every possible combination of . m. Michael Tsai. 2014/1/2. Scheduling. Scheduler. 的工作. :. 把. strand. 指定給. processor. 執行. .. On-line: scheduler. 事先並不知道什麼時候. strand. 會. spawn, . 或者. spawn. 出來的什麼時候會完成. Mathematics. Computer Science & AI Laboratories. June 9, . 2014. Jeff . Bezanson. , Stefan . Karpinski. , Viral Shah and may collaborators worldwide. Try Julia/. Ijulia. today. google. : . julia. Richard . Peng. Joint with Michael Cohen (MIT), . Rasmus. . Kyng. (Yale), . Jakub. . Pachocki. (CMU), and . Anup. . Rao. (Yale). MIT. CMU theory seminar, April 5, 2014. Random Sampling. Collection of many objects. Determinants and Inverses. Every . square. matrix . has a whole number quantity called a . determinant. The notation for the . Determinant . is. detA. or . |A|. Why they are important. Used to find inverse of matrix. Write 2 matrices to organize the data!!!!! BE sure to label!!. Ms. . Gagliano. has several students on the cross country team this year. . Mary. , who runs a mile in . 8 min. and 30 sec. . , . ran 4.5 miles on Monday and 4.2 miles on Tuesday. Matrix multiplication I : parallel issues. Matrix multiplication II: cache issues. Thanks to Jim Demmel and Kathy Yelick (UCB) for some of these slides. Matrix-Matrix . Multiplication (“DGEMM”). vectors and matrices. A vector is a bunch of numbers. A matrix is a bunch of vectors. A vector in space. In space, a vector can be shown as an arrow. starting point is the origin. ending point are the values of the vector. Coordinate Systems. Jeff Chastine. 1. The Local Coordinate System. Jeff Chastine. 2. Sometimes called “Object Space”. It’s the coordinate system the model was made in. The Local Coordinate System. Computer Science & AI Laboratories. June 9, . 2014. Jeff . Bezanson. , Stefan . Karpinski. , Viral Shah and may collaborators worldwide. Try Julia/. Ijulia. today. google. : . julia. .  downloads. 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. b. Solve for x: .  . MATRICES. MATRIX OPERATIONS. A matrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns run vertically.. The dimensions of a matrix are stated “.