5 5 5 Compute: ATB(3 marks) tr (AB)(1 mark) (e) Determine if (2‚ -1) is in the set generated by = (3‚ 1)‚ (2‚ 2) (5 marks) Question Two (20 marks) Let T: R2 R2 be defined by T(x‚ y) = (x + y‚ x). Show that T is a linear transformation.(7 marks) Find the basis and dimension of the row space of the matrix.(6 marks) 2 -1 3 A= 1 1 5 -1 2 2 Compute A-1 using row reduction method.(7 marks) 1 4 3 A= -1 -2 0 2
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Object-oriented Programming/Event-Driven Programming versus Procedural Programming Professor Computer Program Design Object-oriented Programming/Event-Driven Programming versus Procedural Programming There are many advantages of using Object-oriented Programming (OOP) over Procedural Programming (PP). When using inheritance‚ you can develop new classes more quickly by extending existing classes that already work; you need to concentrate only on new features added by the new class.
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8 6.2 Arrays (Cont.) • Index – Also called subscript – Position number in square brackets – Must be positive integer or integer expression – First element has index zero a = 5; b = 6; c[ a + b ] += 2; • Adds 2 to c[ 11 ] 9 Common Programming Error 6.1 Using a value of type long as an array index results in a compilation error. An index must be an int value or a value
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Uniform linear acceleration Introduction This topic is about particles which move in a straight line and accelerate uniformly. Problems can vary enormously‚ so you have to have your wits about you. Problems can be broken down into three main categories: Constant uniform acceleration Time-speed graphs Problems involving two particles Constant uniform acceleration Remember what the following variables represent: t = the time ; a = the acceleration ; u = the initial speed ; v = the final
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3 Introduction to Linear Programming The development of linear programming has been ranked among the most important scientific advances of the mid-20th century‚ and we must agree with this assessment. Its impact since just 1950 has been extraordinary. Today it is a standard tool that has saved many thousands or millions of dollars for most companies or businesses of even moderate size in the various industrialized countries of the world; and its use in other sectors of society has been spreading
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re Programming Languages Submitted To: Madam Amna Naveed Submitted By: The Programmers COMSATS – Lancaster Dual Degree Programme COMSATS Institute of Information Technology Lahore PROGRAMMING LANGUAGES SUBMITTED TO: Madam Amna Naveed Lecturer Department of Humanities & Social Sciences COMSATS‚ Lahore SUBMITTED BY: Sana Naheed Mohammad Nawal Shaukat Syed Usama Nasir Hafiz Abdul Shakoor ddp-fa12-bse-115 ddp-fa12-bse-103 ddp-fa12-bse-130 ddp-fa12-bse-034 Date: April 18‚ 2013
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prepare you for the Final Exam in Week 5. Points will be awarded for completion of the project. Study Table for Weeks One and Two Chapter 4 Systems of Linear Equations; Matrices (Section 4-1 to 4-6) | Examples | Reference (Where is it in the text?) | | | | DEFINITION: Systems of Two Linear Equations in Two VariablesGiven the linear system ax + by = hcx + dy = kwhere a ‚ b ‚ c ‚ d ‚ h ‚ and k are real constants‚ a pair of numbers x = x0 and y = y0 [also written as an ordered pair
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Jay-Marken Sionel Soriano Associate in Computer Science 2 Assembly Language An assembly language is a low-level programming language for a computer‚ microcontroller‚ or other programmable device‚ in which each statement corresponds to a single machine code instruction. Each assembly language is specific to a particular computer architecture‚ in contrast to most high-level programming languages‚ which are generally portable across multiple systems. Assembly language is converted into executable machine
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Architectural Programming Introduction Architectural programming began when architecture began. Structures have always been based on programs: decisions were made‚ something was designed‚ built and occupied. In a way‚ archaeologists excavate buildings to try to determine their programs. Today‚ we define architectural programming as the research and decision-making process that identifies the scope of work to be designed. Synonyms include "facility programming‚" "functional and operational requirements
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Procedural programming It is technique that problem solving in “divide and conquer” method. It means program reach the complex problem step by step and break it into separate subclasses. So‚ it is easy to solve the problem. Each sub classes have the connection with others. So this type of style can be active when it comes to the complex solutions. For example‚ if you want to calculate the month-end closing balance for a bank account‚ then the required steps would be as follows. First‚ you acquire
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