Please see the attached file for the fully formatted problems. 1 Prove that the solution space of AX = 0, where A is a m x n matrix, is a vector space. 2 Are the vectors x3 - 1, x2 - x and x linearly independent in P3 ? Why ? 3 Determine whether or not the function T : Mmn --> Mmn de ned by T(A) = A + B, where B is a mix
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
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.
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
Flying against the jetstream, a jet travels 1950km in 3 hours. Flying with the jetstream, the same jet travels 4600km in 4 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
Two rainstorms occurred in one week in a certain area. In the first storm 25ml of rain fell per hour, and in the second storm 20ml of rain fell per hour. Rain fell that week for a total of 75 hours for a total rainfall of 1700ml . How long was each storm?
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.
Please see the attached file for the fully formatted problems. Use the appropriate property of equality to solve each equation. 91. 5a = -10 7 93. 1 v = - 1 v + 3 2 2 8 Solve each equation. 77. 7- 3(5 -u) = 5(u - 4) 85. 4 - 2n = 12 5 90. 3(x - 0.87) - 2x = 4.98
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
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,
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
Take a system of equations (make one up or use one of the exercises in the book, in chapter on systems of equations) and then solve it using THREE METHODS: substitution, elimination, and graphing. Please post before Sunday Midnight. I have attached the example.
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-λI|.
Supply and demand at $1.40 per bushel, the daily supply for oats is 850 bushels, and the daily demand is 580 bushels. When the price falls to $1.20 per bushel, the daily supply decreases to 350 bushels and the daily demand increases to 980 bushels. Assume that the supply and demand equations are linear. Find the supply equat
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
For a student club fund-raiser, the number of $2.00 raffle tickets printed was three times the number of $5.00 raffle tickets. If all of the tickets are sold, receipts from the $5.00 tickets will be $50.00 less than those from the $2.00 tickets. How many $5.00 tickets were printed?
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
Please show work. A matrix pxp matrix A is idempotent if A^2=A...
Your friend is taking an algebra class that began one week after ours. Explain to your friend how to graph linear inequalities with two variables. Include at least two examples
Past history indicates that mutual fund A will earn 11.6% annually while mutual fund B will earn 9.8% annually. If an investment amount is divided between funds A and B so that the expected return will be 11%, how should the investment be split between the two funds?
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 T be an element of L ( complex numbers^3 ) and suppose 0 is the only eigenvalue for T. Show that T^n = 0 for some n.
Show that if θ is an element of Reals, then the operator R : Reals^2 -> Reals^2 given by R ( x , y ) = ( cosθ * x + sinθ * y , sinθ * x - cosθ * y ) always has an eigenvector in Reals^2.
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.
Why are implicit Eulers different from explicit Eulers?
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
Can you please assist me with the following problems. *Give examples (either a graph or the system of equations) of the 3 types of solutions to a system of linear equations - one solution, no solution, infinitely many solutions. *Why do absolute value equations usually have 2 solutions?
See attached Solve the linear homogenous system x' =Ax give by ' = [ By determining the following: (a) The eigenvalues of A (b) The eigenvectors of A (c) Write the general solution of x' =Ax
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
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