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Linear Algebra

Some graphing and various equation problems

1.) The national cost "C" in billions of dollars for dental services can be modeled by the linear equation: C = 2.85n+ 30.52 where n is the number of years since 1990 (Health Care Financing Administration, a) Find and interpret the C-intercept for the line. Put n = 0, we will get C = 30.52 C-interc

Important information about Mathematics - Algebra - Linear Programming

Graphs and work done in Excel can be copied and pasted into the cells. Page # Prob. # Problem and Solution: 196 4 a. Add slack variables or subtract surplus variables. b. Set up the initial simplex tableau. 6 a. Add slack variables or subtract surplus variables. b. Set up the initial simpl

Business : Formulate and Solve Systems of Equations for a Real-World Problem

The financial institution has asked your firm to place some spot advertisements. The financial institution wants you to find the best allocation of ads between 2 of the local media outlets. The company you have chosen to handle the transaction has estimated the average number of potential new customers reached per spot annou

Writing a Linear Equation

Please answer the following question and show all of the steps which are required. Question: A line passes through the point (x,y)=(-9,6) and has a slope of 3. Write the equation of the line.

Matrices and equations

1. Guassian Elimination is really just using the regular Elimination Method and applying the Triangular Form procedures to a set of linear equations, but without having to write down all the variables in the equations each time. This in itself simplifies the procedure and helps focus on the task. What is the ultimate goal of all

Equations of lines

Given that the y-intercept of a line is (0,-5) and the slope is 1/3, find the equation of the line in slope-intercept form. What is the x-intercept? Find a point on the line. Plot the line.

Several problems on radicals, exponents, linear and quadratic equations

Please see attachment. *1. Disregard 2. Simplify the following expression: 3. The surface area of a right prism is given by , where is the area of the base, is the perimeter of the base, and is the height of the prism. Solve for . 4. Solve the following equation for . Simplify your answer

Linear programming blending problem using Excel Solver Table.

NewAge data Cost/lb of chemicals Chemical 1 $8 Chemical 2 $10 Chemical 3 $11 Chemical 4 $14 Ingredient/lb of chemical A B C Chemical 1 0.03 0.02 0.01 Chemical 2 0.06 0.04 0.01 Chemical 3 0.10 0.03 0.04 Chemical 4 0.12 0.09 0.04 The Mist pharmacy produce four chemicals,

System of non-homogenous first order differential equations

The volume of two tanks are V1 =100 gallons and V2 = 200 gallons .The inflow and outflow rates of the system are r = 10 gallons per minute. Suppose that the two tanks both contain fresh water initially, but the inflow to tank 1 is brine at 2 pounds per minute, so that 2 pounds of salt flow into tank 1 each minute. Write a matr

Differential Equation

Please show all steps to solution (see attached) Solve the linear homogenous system x' =Ax given by = By determining the following (a) The eigenvalue(s) of A (b) The (generalized) eigenvectors of A (c) The general solution x' =AX Please remember to calculate the eigenvalue using det |A-&#95

Linear Equations

Solve the system: {x+2y-z+2w+3t=11 {x-y+2z-w+2t=0 {2x+y-z+2w-t=4 {3x+2y-z+w-2t=2 {2x+y-z-2w+t=4

Linear equations

I need help with the attached problems. 1.) Solve. 5/8x + 1/16x = 11/16 + x The solution is x=___. (Simplify answer. Type integer or fraction.) 2.) Solve. 8x - (6x + 4) = 6 The solution is x=____. 3.) Solve by the elimination method. 2x + 3y = 3 4x + 6y = 6 What is the solution of the system? _______ (Type an or

Idempotent proof

Please show work. A matrix pxp matrix A is idempotent if A^2=A...

Mathematics - Algebra - Linear Equation Problems

Please help with the following linear algebra problem. It has been found that the percent of males in the workforce is constantly decreasing while the percentage of females is constantly increasing. The function m(t)= -.25t+85.4 where t= number of years since 1955, can be used to estimate the percent of males in the workfo

Let a ε complex numbers and distinct from 0. Prove that the eigenvectors of the transformation T:Complex numbers² -> complex numbers² given by T(z,w)=(z+aw,w) span on 1-dimensional subspace of complex numbers² and give a basis for this subspace.

Let a be an element of complex numbers and distinct from 0. Prove that the eigenvectors of the transformation T : Complex numbers^2 -> complex numbers^2 given by T ( z , w ) = ( z + aw , w) span on 1-dimensional subspace of complex numbers^2 and give a basis for this subspace.

Matlab for Lorenz equations with Gauss Seidel iteration

Hello I am taking a numerical methods class and I have limited Matlab skills to be able to complete this problem by myself. The problem is to linearize the Lorenz equations and then to write a Matlab program without using any built in Matlab solvers such as ODE45, etc. to create the Lorenz butterfly using linearized Lorenz

Solving Systems of linear equations

Systems of linear equations Books and magazines. At Gwen's garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for $1.45,and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine? Solving

Differential Question

Please see the attached file for the fully formatted problems. Solve the linear homogenous system x' =Ax give by (x') = ( 5 -1)(x) (y') = ( 3 1)(y) under the initial conditions (x,y) at t=0 is (2 -1) By determining the following: (a) The eigenvalues of A (b) The eigenvectors of A (c) Write the general solu

Linear equations and inequalities

1.Give 3 real-world examples where something is increasing at a constant rate or decreasing at a constant rate. The starting amount would be the y-intercept, "b", and the rate at which it increases would be the slope, "m". Give the equation of the lines for your examples using y = mx + b with your "m" and "b". 2.

Algebra : Systems of Equations - Word Problem

The dimensions of a certain computer monitor screene are such that its length is 2 inches more than its width. If the length is increased by 1 inch while the width remains teh same, the areas is increased by 12 square inches. What are the dimensions of the screen? Length = ___ Width = ____

Systems of Equations: How to form the equations from a word problem.

1. How would you come up with the decimal point in this problem? 2. How does the author determine what the first equation should be? 3. What about the second equation? The second equation is the equation formed out of the second information in the problem, where the required mixture of the two components x and y is form