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    Linear Algebra

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    Applications of Linear Equations

    The director of a summer day camp estimates that 120 children will join if the camp fee is $250, but for each $25 decrease in the fee, five more children will enroll. Determine the linear equation that will represent the number of children who will enroll at a given fee. Hint: To write the slope, you need two points on the lin

    Eigenvalues and Eigenvectors

    Given the following 3X3 matrix find the eigenvalues and eigenvectors. Please solve by hand before checking with a computer program! [(5,0,2),(0,3,0),(2,0,5)]

    system of linear equation and compound inequality

    Please see attached file for full problem description. Solve system by the substitution method. 1. y = 2x - 6 y = x - 5 2. 7x - 4y = 26 y = x - 5 ------------------------------------------------------------------------------------ Solve each system by the addition method. If there is no solution or an

    Algebra : Area and Writing Equations from Word Problems

    Please see the attached file for all of the problems. 12. Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m and the area is 224m2, find the length of the other base. 13. The sum of two consecutive integers is 145. Find the two integers. 14. Yuri has a board that is 98

    Systems of Equations Word Problems

    Please see attached file for full problem description. 1. Two cars leave a restaurant at the same time and travel in opposite directions. One averages 50 miles per hour and the other averages 40 miles per hour. After how long will they be 216 miles apart? 2. How many gallons of a 4% acid solution should be mixed with 2

    Row Operations and Reduced Row Echelon Form

    Rewrite the following system of equations as an augmented matrix. Put the matrix in reduced row echelon form to find the solution to the system of equations. x-y=3 6x+7y=44 6x-7y=16 This is as far as I got, then I am unsure of what to do next 1 -1 3 6 7 44 6 -7 16.

    Mathematics - Linear Operators explained in this solution

    1. solve the following equations and show work. 2. You are given the following system of linear equations: x - y + 2z = 13 2x + xy - z = -6 -x + 3y + z = -7 a. Provide a coefficient matrix corresponding to the system of linear equations. b. What is the inverse of this matrix? c. What is the transpose of this mat

    Matrix Solutions to Systems of Linear Equations

    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

    Linear Programming Problems: Tax Returns

    Matrix methods can be used to solve linear programming problems. A linear programming problem is used to find an optimal solution, subject to stated restraints. For example, consider an accountant who prepares tax returns. Suppose a form 1040EZ requires $12 in computer resources to process and 22 minutes of the accountant's t

    Matrices, Solutions and Systems of Equations

    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. Matrices are the most common and effective way to solve systems of linear equations. Provide an example of a matrix that has no solution. Use row oper

    Stability of systems

    1. A single-loop negative feedback system has a loop transfer function. GH(s) = K(s+2)^2 / s(s^2+1)(s+8) Determine the range of the gain K for which the system is stable. Choose either a. 23 < K < 367 b. K > 14 c. 0 < K < 5 2. A system has a characteristic equation q(s) = s^4 +9s^3 +45s^2 +87s +50 +0. De

    Linear Algebra Finite Dimensional Vectors

    All vector spaces are finite dimensional 1) Let X be a finite dimensional linear space. Show that, for every subspace Y of X, Y perp perp = Y (that is, the annihilator of the annihilator of Y is Y) 2) X = U = V = polynomials in s, T=d/ds, S=multiplication by s Show that S and T are linear and ST is not equal to TS

    Applications of Linear Equations

    Task Name: Phase 2 Individual Project Deliverable Length: 10 slides with notes Details: Your company was very impressed with your results from the recent study. They have asked that you investigate another location for them and present this new promising location at the upcoming sales meeting. Again, it is your job to check

    Linear Equation and Inequality

    I need help in showing what the graphs look like and what the differences are for the following scenario: Preparing for upcoming sales meeting and need to create and compare various supply demands by graphs to show the break even point for the company. You have compared the linear equation graphs and linear inequalities. What a

    Points and Linear Equations

    Complete the coordinates of x+2y=1 (0, ) (-2, ) (2, ) Find the slope of the line through the points (0, 4) and (5, 0) Find the slope and the y-intercept for theline y= - x+5

    Linear Equations and Inequalities

    Part 1: Using the Library, web resources, and/or other materials, find a record-breaking temperature (in degrees Fahrenheit) for a town or city of your choice. Include the name of the town, along with the temperature, and what record was broken. Give the formula for converting degrees Fahrenheit to degrees Celsius. Using the fo

    Linear Algebra Problems in MTH 212 Unit 1 Individual Project - B

    See attached file for full problem description. 1. Solve -3[5+2(-7+x)+x]=-3x-(x+3). 2. Solve -(4x+4)/5 = (5x -1)/2 - x/3. 3. A real estate broker's base annual salary is $18,000. She earns 3% commission on total sales. How much must she sell in real estate value during the year to earn $65,000? Set up an equation and

    Linear Programming and Matrix Reducing to Row Echelon Form

    1. The Copperfield Mining Company owns two mines, each of which produces three grades of ore-high, medium, and low. The company has s contract to supply a smelting company with at least 12 tons of high-grade ore, 8 tons of medium-grade ore, and 24 tons of low-grade ore. Each mine produces a certain amount of each type of ore d

    Linear Equations (9 Problems)

    1. True or False: The ordered pair (-4, 5) is a solution of the following system of equations: 3X - 4Y= -32 -7X + 10Y = 78 2. Which one is addition method and which one is substitution method? (20x -3y = 14) and (4x + 10y = -8) or (x = 3y + 14) and (4x + 10y = -8) 3. What is the slope of the line pa

    Systems of Equations

    1. Write an equation of the line that passes through (0, -4) and is parallel y = (3/4)x + 2. Write the answer in slope-intercept form. 2. Solve the system of equations by substitution: x + 2y = 9 3x - y = 13 3. Solve the system of equations by substitution: 4x - 3y = 1 12x - 9y = 3