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Listing 12 . Source code for the program named ColMatrixEquals01.

/*ColMatrixEquals01.java Copyright 2008, R.G.BaldwinRevised 02/08/08 The purpose of this program is to confirm the behavior ofthe equals methods of the GM2D03.ColMatrix, Point, and Vector classes.Tested using JDK 1.6 under WinXP. *********************************************************/public class ColMatrixEquals01{ public static void main(String[]args){ GM2D03.ColMatrix matA =new GM2D03.ColMatrix(1.5,-2.6); GM2D03.ColMatrix matB =new GM2D03.ColMatrix(1.5,-2.6); GM2D03.ColMatrix matC =new GM2D03.ColMatrix(1.500001,-2.600001); GM2D03.ColMatrix matD =new GM2D03.ColMatrix(1.50001,-2.60001); System.out.println(matA.equals(matA));System.out.println(matA.equals(matB)); System.out.println(matA.equals(matC));System.out.println(matA.equals(matD));GM2D03.Point pointA = new GM2D03.Point( new GM2D03.ColMatrix(15.6,-10.11));GM2D03.Point pointB = new GM2D03.Point( new GM2D03.ColMatrix(15.6,-10.11));GM2D03.Point pointC = new GM2D03.Point( new GM2D03.ColMatrix(-15.6,10.11));System.out.println(/*Blank line*/); System.out.println(pointA.equals(pointA));System.out.println(pointA.equals(pointB)); System.out.println(pointA.equals(pointC));GM2D03.Vector vecA = new GM2D03.Vector(new GM2D03.ColMatrix(15.6,-10.11)); GM2D03.Vector vecB = new GM2D03.Vector(new GM2D03.ColMatrix(15.6,-10.11)); GM2D03.Vector vecC = new GM2D03.Vector(new GM2D03.ColMatrix(-15.6,10.11)); System.out.println(/*Blank line*/);System.out.println(vecA.equals(vecA)); System.out.println(vecA.equals(vecB));System.out.println(vecA.equals(vecC)); }//end main}//end ColMatrixEquals01 class
Listing 13 . Source code for the program named DisplacementVector01.
/*DisplacementVector01.java Copyright 2008, R.G.BaldwinRevised 02/08/08 The purpose of this program is to confirm the behavior ofthe getDisplacementVector method of the GM2D03.Point class.Tested using JDK 1.6 under WinXP. *********************************************************/public class DisplacementVector01{ public static void main(String[]args){ GM2D03.Point pointA = new GM2D03.Point(new GM2D03.ColMatrix(6.5,-9.7)); GM2D03.Point pointB = new GM2D03.Point(new GM2D03.ColMatrix(-6.0,9.0));System.out.println(pointA.getDisplacementVector( pointB));System.out.println(pointB.getDisplacementVector( pointA));}//end main }//end DisplacementVector01 class
Listing 14 . Source code for the program named ColMatrixAddSubtract01.
/*ColMatrixAddSubtract01.java Copyright 2008, R.G.BaldwinRevised 02/08/08 The purpose of this program is to confirm the behavior ofthe add and subtract methods of the GM2D03.ColMatrix class.Tested using JDK 1.6 under WinXP. *********************************************************/public class ColMatrixAddSubtract01{ public static void main(String[]args){GM2D03.ColMatrix matrixA = new GM2D03.ColMatrix(3.14,-6.01);GM2D03.ColMatrix matrixB = new GM2D03.ColMatrix(-14.0,-12.2);GM2D03.ColMatrix matrixC = matrixA.add(matrixB);GM2D03.ColMatrix matrixD = matrixC.subtract(matrixA); GM2D03.ColMatrix matrixE = matrixD.subtract(matrixB);System.out.println(matrixC);System.out.println(matrixD); System.out.println(matrixE);}//end main }//end class ColMatrixAddSubtract01

Exercises

Exercise 1

Using Java and the game-math library named GM2D03 , or using a different programming environment of your choice, write a program that createsfour column matrix objects using the following names and values:

  • matA = (1.5,-2.6)
  • matB = (1.5,-2.6)
  • matC = (8.5,-13.4)
  • matD = (5.5,-8.2)

Then use matrix addition and subtraction to compute and display the values of the following matrices:

  • matE = matA + matB
  • matF = matC - matD

Finally, test matE and matF for equality and display the result, replacing the question mark with either true or false..

Cause the program to display your name in some manner.

My version of the program produces the text output shown in Figure 4 , and you should use that as a display template.

Figure 4 Text output from Exercise 1.
Prof. Baldwin matE = 3.0,-5.2matF = 3.0,-5.200000000000001 matE equals matF: ?

Exercise 2

Using Java and the game-math library named GM2D03 , or using a different programming environment of your choice, write a program that createsand displays (in text form) three vectors having the names and values shown in Figure 5 .

Cause your program to test vecA for equality, first against vecB , and then against vecC , and display the results of the tests in place of the question marks shown in Figure 5 .

Figure 5 . Text output from Exercise 2.
Prof. Baldwin vecA = -1.5,2.6vecB = -1.5,2.6 vecC = 8.5,-13.4vecA equals vecB: ? vecA equals vecC: ?

Exercise 3

Using Java and the game-math library named GM2D03 , or using a different programming environment of your choice, write a program that createsand displays four column matrices having the names and values shown in Figure 6 .

Use the first two matrices to create a displacement vector named dispVecE and display its value in place of the question marks in Figure 6 .

Use the last two matrices to create another displacement vector named dispVecF and display its value in place of the question marks in Figure 6 .

Test dispVecE and dispVecF for equality and display the result of the test in place of the final question mark in Figure 6 .

Figure 6 . Text output from Exercise 3.
Prof. Baldwin matA = 1.5,-2.6matB = -1.5,2.6 dispVecE = ?,?matC = 8.5,-13.4 matD = 5.5,-8.2dispVecF = ?,? dispVecE equals dispVecF: ?

-end-

Questions & Answers

differentiate between demand and supply giving examples
Lambiv Reply
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Lambiv
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Lambiv
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appreciation
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In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
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Shukri
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Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
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Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
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Jabir
What do you think is more important to focus on when considering inequality ?
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Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
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In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
types of unemployment
Yomi Reply
What is the difference between perfect competition and monopolistic competition?
Mohammed
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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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