PPT-Matrix Multiplication Results

Projects 3 and 5 EC Loc Do and Anirudh Garg CS61c Fall 2012 Project 31 Average Project 31 60x60 Proj31 Performance vs Lines of Codes Project 32 Benchmark Project 32 Performance . m. ultiply. t. imes. l. ots. . of. X. 3 x 2 = 6. 5 x 2 = 10. Here are some arrays to show what multiply means.. 3 lots of 2 are 6. 5 lots of 2 are 10. When we multiply, we are. r. eally adding together lots of. Communication Avoiding. Fast. Algorithm for. Sparse Matrix . Multiplication. Part I: Minimizing arithmetic operations. Oded Schwartz. CS294, Lecture #21 Fall, 2011. Communication-Avoiding Algorithms. Start from r.h.s , if there is any carry in any part ,it is to be added to next part.. A B . C D. C*A (D.A + B*C) B*D. 1 2. 4 3. 1*4 1*3+4*2 2*3. 4 11 6. 4+1 1 6. 5 1 6. Create a multiplication table in . Alphabitia. .. Alphabitia. Multiplication Table. . Warm-up. Place the digits 1, 2, 3, 6, 7, 8 in the boxes to obtain. :. Greatest . sum . Least sum . Greatest difference. 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. m. movies. v11. …. …. …. vij. …. vnm. V[. i,j. ] = user i’s rating of movie j. n . users. Recovering latent factors in a matrix. m. movies. n . users. m. movies. x1. y1. x2. y2. ... ... …. m. columns. v11. …. …. …. vij. …. vnm. n . rows. 2. Recovering latent factors in a matrix. K * m. n * K. x1. y1. x2. y2. ... ... …. …. xn. yn. a1. a2. ... …. am. b1. b2. …. …. bm. v11. ). M. . Baselga. , . P. . Fernández-Martínez. , D. Flores, . S. Hidalgo, V. Greco, A. . Merlos. , . D. . Quirion. RD50 project:. Fabrication . of 200um thick p and n- type pad detectors with. enhanced multi-plication effect. 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. So what’s new about fractions in Grades 6-8?. SOL 6.4 . The student will . demonstrate multiple representations . of multiplication and division of fractions. . 2. Thinking About Multiplication. 3. . . 36. X 23. THINK:. 36 X 3. . FIRST. . 36. X 3. 3 X 6 = 1. 8. Carry the one. 3 X 3 = 9 and one more is . 10. Independent Events. 4. Use the multiplication rule for independent events to calculate probabilities.. Calculate . P. (at least one) using the complement rule and the multiplication . rule for . independent events.. Principle and Permutations. 4. Use the multiplication counting principle to determine the number of ways to complete a process involving several steps.. Use . factorials to count the number of permutations of a group of individuals. . Determinants. Square matrices have determinants, which are useful in other matrix operations, especially inversion. .. For a second-order . square. . matrix. , . A. ,. the determinant is. Consider the following bivariate raw data matrix.