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    Linear Algebra

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    Mathmatica Example Problem and Solution

    Using Mathmatica 6 set up and run the following: Please show the answers in PDF format...note Mathmatica must be used prefer 6 but can accept 5.2. a) The built in function Prime[n], outputs the nth prime number. Make a function which lists the first n prime numbers using the Table command. b) Write a function to fi

    Simultaneous Linear Equations: Example Problem

    Claire sells packets of sunflower seeds for $0.95 each and packets of morning glory seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination, combining both types of seeds at $1.10 per packet. How many packets of each type of seed should be put in Claire's garden mix?

    Detailed Explanation to Matrices

    Matrices are the most common and effective way to solve systems of linear equations. However, not all systems of linear equations have unique solutions. Before spending time trying to solve a system, it is important to establish whether it in fact has a unique solution. For this Discussion Board, provide an example of a matri

    Comparing Methods of Solving Systems of Linear Equations

    Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? What circumstances would cause you to use a different method? Consider some of your responses by indicating pros and cons that you may not have considered or p

    Union of Sets

    Please explain in detail. Directions: Use U = universal set={0, 1,2,3,4,5,6,7,8,9}, A={1,2,3,5,8,} B={2,3,5,7,} C={1,4,9} to find the set. 1. B u C 2. A u C 3. A intersect B 4. A intersect C 5.(A intersect B) u C 6.(B u C) intersect A 7 B line on top of B 8.Line on top of A U B 9.Line on top of A intersect C

    Motorists often complain about rising gas prices.

    1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: a) What does the number 3.03 represent? b) Find C(2) c) Find C(9) d) For the average motorist, name one value for g that would be inappropriat

    Different methods of solving system of linear equations

    i) Solve he following equation by the quadratic formula : 3X^2 + 4X -23 = 0 ii) Find the values of x and y that satisfy the equations here given ( use the simultaneous equation method ) : 3x + 2y = 22 2x + 3y = 23 iii) Solve graphically the following equations: show the graph as a part of the solu

    Linear, Nonlinear Variables - Similarities and Differences

    What similarities and differences do you see between functions and linear equations studied in Ch. 3? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

    A simple example of the use of De Morgan's Law

    Can anyone show me a simple definition of De Morgan's Law (not proof just a definition using union and intersection symbols)? Please show a simple example of the use of De Morgan's Law.

    Solving Given System of Equations Using Elimination Method

    1) 9x-9y=18 7y-3x=-8 Solve by elimination method. What is the solution of the system? Type an integer or friction. 2.) The perimeter of a rectangle is 176 inches. The length exceeds the width by 82 inches. The length is ______inches. The width is ______inches. Solve by elimination method.

    System of Equation Word Problems

    Please see the attached document for better formatting: _____________________________________________________ Review examples 2, 3, and 4 in section 8.4 of the text. How does the author determine what the first equation should be? What about the second equation? How are these examples similar? How are they different? P

    Solving systems of equations

    3.) Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent. 5u+v=9 5u=v+21 What is the solution of the system of equations? ____________________ (Type an ordered pair . Type N if there is no solution. Type R if the solution is a

    Linear Equations In Real World

    I need to show a linear equation and explain what it represents. I need to state what the "x" and "Y" in equation represents I have to be able to evaluate the equation for at least two variables and provide reference where you got the equation from. Part 2: Using the Library, web resources, and/or other materials, find a r

    Geomotry problems

    Please see attached. Thanks for your help! 1. Along a straight shoreline, two lighthouses, A and B, are located 2000 feet apart. A buoy lies in view of both lighthouses, with angles 1, 2, and 3 as indicated. (Angle 1 is denoted by , angle 2 is denoted by , and angle 3 is denoted by .) 2. The two parallel lines a and b

    Judy and Pete are building a new house and want to carpet their living room

    Please see the attached file. 1. Judy and Pete are building a new house and want to carpet their living room, except for the entrance way and the semicircle in front of the fireplace that they want to tile (Alexander & Koeberlein, 2003). A. How many square yards of carpeting are needed? (Hint: There are 9 square feet

    Linear equations as matrices

    1. In Example 3 of Section 2.5, the text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation. Find matrices A, B, C, and X such that the maximization problem Maximize z = 3x1 + 2x2 + x3

    Linear Algebra: Span and LU Factoring

    1. Let a1, a2, a3 be linearly independent vectors in R3, and let A = [a1 a2 a3]. Which of the following statements are true? a) The reduced row echelon form of A is I3 b) The rank of A is 3 c) The system [A|b] has a unique solution for any vector b in R3 d) (a), (b) and (c) are all true e) (a) and (b) are both true, but not

    Linear Equations: Determine the Slope

    1. A roof rises 2.25 ft over a horizontal distance of 17.37 ft. What is the slope of the roof to the nearest hundredth? 2. Determine which two equations represent parallel lines. (a) y = x + 4 (b) y = - x - 9 (c) y = 7x + 14 (d) y = 7x - 4.