The IBM Roadrunner computer can operate at speeds in excess of 1 petaflop per second (1 flops). Use Table 1 to estimate the time required to perform the following operations of the invertible matrix A. (a) Execute the forward phase of GaussJordan elimination. (b) Execute the backward phase of GaussJordan elimination. (c) -decomposition of A. (d) Find by reducing to .

Chapter 1 1.1: Objective- know the difference between descriptive, inferential, observational study and designed experiment. Ex. Descriptive- average height of students (includes ALL individuals) Inferential- Population size (10,000 people) , sample size (1000 people). Sample is PART of the population. population Definitions: Descriptive- method for organizing and summarizing information Inferential- Population- collection of ALL items for statistical study. Sample- part of the population from which information is obtained Observational- number of boys and girls in the class… count the number of boys and girls in the class. *the data already exists Designed experiment: You produce the data. Case- control. Ex. Control group- does not take the medicine. 1.2: Simple random sampling Population: 10,000 Sample: 1,000 2 kinds of sampling: with replacement- a member of the population can be selected more than once. Without replacement- a member of the population can only be selected once. unless specified otherwise, assume that simple random sampling is done without replacement **Ex with replacement.) **Ex without replacement.) Random number tables: Select 15 random numbers between 1& 728 1.) pick random starting point 2.) begin w/ 3 digit number under your finger 3.) discard 000 & 729-999 4.) avoid repetition, eliminate duplicate #'s Chapter 1 1.1: Objective- know the difference between descriptive, inferential, observational study and desi