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Linear Algebra

How Matrices Are Used to Solve 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

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

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

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

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

Pair Solutions in System of Equations

Hello, I am learning algebra 2. I have no help and the textbook gives very few and vague examples. Can someone help me with my algebra 2 work. 1.Find all solutions for the following system of equations. List the solutions as ordered pairs. {x^2+y^2-25 = 0 2x-y = -5 2.Solve the system of linea

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. Why do we

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

Linear algebra

See attached Show that for a real symmetric matrix A=A^T, its singular values are exactly the absolute values of its eigenvalues.... Find the singular decomposition of... Verify the special theorem for the Hermitian matrix

Round-off error and Matlab

Using MatLab, compute H^-1H for various n between 5 and 15. Describe the results and comment on the difference between the MatLab output and what is expected the answer to be (given that H is invertible for all n). At what point does Matlab give a warning indicating that it may not be giving the correct answer? Try using the

Gauss-Jordan elimination word problem

A particular diet calls for exactly 1000 units of vitamin A, exactly 1600 units of vitamin C, and exactly 2400 units of vitamin E. An individual is fed a mixture of three foods. Each gram of food 1 contains 2 units of vitamin A, 3 units of vitamin C, and 5 units of vitamin E. Each gram of food 2 contains 4 units of vitamin A, 7

Equations and inequalities

Solve the system by the substitution method 6x+5y=10 -4x+y=28 Solve the system by the elimination method 5x+5y=-11 7x-3y= 19 Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent. 3x-9y=63 2x-6y= -8

Matrix Theory Functions

Please see the attached file. Thank-you for your help. Let B = . Find each of the following. You may use a calculator to replace hand calculation for row reduction and finding the characteristic polynomial. Show your work; don't just write down the answers. (a) Find the characteristic polynomial of "A". (b) Find the


See attached for full description. 4. Decide whether the pair of lines is parallel, perpendicular, or neither. 4x+5y=5 5x+4y=7 8. Solve for x. 8x-(5x+7)=14 10. Simplify. -3[87-(-55-35)] 14. Find the domain of the function. p(x) = x^2 -2x + 7 23. Solve using the substitution method. 6x+7

eigenvalue and eigenvector of matrix

Please see attached file for full description. Show that v is an eigenvector of A and find the corresponding eigenvalue. Show that lamda is an eigenvalue of A and find one eigenvector corresponding to this eigenvalue. 8. A = [ 2 2, 2 -1], lamda = -2 10. A = [0 4, -1 5]; lamda = 4 Use the method of Example 4.5 to find

System of linear equations and algebra word problems

Need assistance on problemsProblems needing assistance 1. What is the solution of the system? Type an ordered pair 5x+3y= -11 7x-2y= 17 2. Hockey team receives 2 points when they win and 1 point when they tie. One season, a team won a championship with 60 points. They won 12 more games than they tied. How many wins and h

Linear Problem - According to, the U.S. government received approximately $2 trillion in funds during the year 2005. Approximately $1.3 trillion had already been promised to programs such as Medicare and Social Security, leaving approximately $700 billion in "discretionary" funds for budget items like defense and education. ...

According to, the U.S. government received approximately $2 trillion in funds during the year 2005. Approximately $1.3 trillion had already been promised to programs such as Medicare and Social Security, leaving approximately $700 billion in "discretionary" funds for budget

Algebra - Linear Equations Certain Race

1. In 1920 the record for a certain race was 46.7 sec. In 1980, it was 46.1 sec. Let R(t)= the record in the race and t= the number of years since 1920. a. Find a linear function that fits the data b. Use the function in (a) to predict the record in 2003 and in 2006 c. Find the year when the record will be 45.8 sec 2 I

Linear equations and graphs

Need help with attached problems. Problems I need help with 1. Find an equation of the line containing the given pair of points. Express your answer in the form x=a, y=b or y=mx+b (-4,-4) and (3,3) What is an equation of the line y= 2. Find an equation of the line having the given slope and containing the given p

Maximize profit - Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have obtained a load of 600 board feet of birch from a neighbor and are

24. Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have obtained a load of 600 board feet of birch from a neighbor and are planning to produce round kitchen tables and ladder-back chairs during the next three months. Each table will require 30 hours of labor, each will require 18 hour

Several problems on system of linear equations

1. Solve the system by addition or substitution. -9x - 3y = 22 y = -3x - 6 2. A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60