Explore BrainMass

Explore BrainMass

    Linear Algebra

    BrainMass Solutions Available for Instant Download

    Principal Ideal Domains

    Please see attached file. The file got cut off a bit, but should read "For any prime 'p' of R prove that....".

    Systems of Equations Substitution and Addition Methods

    Solve the following system by graphing: 14. x - 2y = -6 y = -3x/2 - 1 15. y < 5x - 2 y > 3x - 2 Solve the following systems by the addition method: 16. x + 2y = 4 3x - 6y = 6 17. 4x - 5y = 20 y = 4/5x - 4 Solve the following systems by the substitution method: 18. 7x - 4y = 26 y =

    Heating Water : Modeling with a Linear Equation

    Water is the most importnt substance on Earth. One reason for its usefulness is that is exists as a liquid over a wide range of temp. In its liquid range, water absorbs or releases heat directly in proportion to its change in temp. Consider the following data that shows temp of a 1,000 g sampe of water at normal atmospheric pres

    Linear Algebra : Complex Vector Space and Eigenvalues

    This is problem #15 on page 189 of Axler's book Linear Algebra Done Right. Suppose V is a complex vector space. Suppose T is in L(V) is such that 5 and 6 are eigenvalues of T and that T has no other eigenvalues. Prove that (T &#8722; 5I)^(n&#8722;1)*(T &#8722; 6I)^(n&#8722;1) = 0, where n = dimV.

    Solutions to Systems of Linear Equations

    Determine if the given ordered pair is a solution to the system: 12. 2x + y = 5 (4, -3) x - y = 1 22. 4x - y = -2 (-1, -2) 3x + y = -5 Solve each system of equations by the graphing method: 32. x - y = 4 x + y = 2 48. -4x + 4y = 4 y = x + 1 Solve each system of equations by the substitution

    Linear Equations Word Problems

    Sue decided to start saving money. She puts $40 away to start out with and she adds $5 each month. Let A represent the total amount of money in dollars put away and let N represent the number of months that Sue has been saving. Write an equation relating A to N, and graph the equation with N as the x axis with a scale of 1

    Systems of Linear Equations..

    Please go over one more time. Find the values of x and y that solve the following systems of equations. -8x - 9y = -25 -4x + 3y = -5 I think I am getting confused on the substituting.

    Solve the equation by graphing.

    These are questions that I got wrong on a test..can someone show me how to do these? ________ Solve the equation by graphing. 2x-3y=12 3y-2x=-12 is this equation independent inconsistent or dependent? __________________________________________ Solve the equation by graphing. 3x-y=4 3x-y=0 is this equation

    Systems of Linear Equations Differences

    Please assist to understand the difference in these different methods. Please show work so I can follow the solution. Determine if the given ordered pair is a solution to the system: 12. 2x + y = 5 (4, -3) x - y = 1 22. 4x - y = -2 (-1, -2) 3x + y = -5 Solve each system of equations by the graphing method:

    Vector Cross Products and Vector Equations

    Compute these vector quantities. 1) (i+3j-k) X (4i-j+2k) 2) (-i+3j+4k) X [(2i-j-k)x(i+j-3k)] Find the characteristic equation for the matrix below and determine its eigenvalues and the corresponding eigenvalues. -2 4 0 1 1 0 -3 4 3 Find the equations for the indicated geometrical objects: 1) the plane containing

    Systems of Equations and Inequalities and Absolute Values

    How do you solve by the substituation method? x=y+3 3x-2y=4 would it be inconsistent, independent or dependent? ______________ word problem Ziggys famous yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain lowfat yogurt that os 1% fat. How many pounds of regular yogurt and how many pounds o

    Linear Equations Word Problem : Cost of Water

    The cost of water in dollars is a linear function of the amount used in hundreds of cubic feet, HCF. The cost for using 27 HCF of water is $38.08, and the cost of using 45 HCF is $62.38. What is the cost of using 34 HCF of water?

    Evaluate: Systems of Differential Equations

    Question: Solve each of the following initial value problems: a) y'_1 = -y_1 + 2y_2 y'_2 = 2y_1 - y_2 y_1(0) = 3, y_2(0) = 1 Note: Check to see if eigenvectors are multiples of the given eigenvectors.

    Linear Equations and Graphs

    Please show work so I can understand how to solve. Need assistance with the following word problems: A. Given the following linear equation: 2x - 5y = 5 a. Graph the line for the given equation. b. Derive an equation for a line parallel to the given line passing through the origin (0 ,0). c. Graph the second line.

    System of Equations Word Problem

    The monthly cost in dollars of a phone plan is a linear function of the calling time in minutes. The monthly cost for 40 minutes of calls is $14.18 and the monthly cost for 96 minutes is $19.22. What is the monthly cost for 45 minutes of calls?

    Linear Equations Word Problems

    A cookie company needs 1 cup of sugar for every 40 cookies. Let C represent the total number of cups of sugar and let N represent number of cookies to be made. Write an equation relating C to N, and then graph the equation using C as the Y axis with a scale of 1 to 7 and the x axis represents N with a scale of 20 to 260. Plea

    Linear Equations

    Determine if the given ordered pair is a solution to the equation: 4. -3x + y = -2 (0,2) 6. 2x - y = -3 (-2, -1) Find the specified values: 8. 6x - 3y = 12 x-intercept & y-intercept 10. 4x - 2y = 6 slope & y-intercept Re-write the equations in the specified form: 12. y = 2x -3 write in standard form

    Questions about Systems of Equations

    1. How do you interpret the solution of a system of equations by the corresponding graph? 2. Is there a basic difference between solving a system of equations by the algebraic method and the graphical method? Why? 3. Which method do you think is better for solving linear equations - addition or substit

    Vectors: Linear Transformations

    The following questions are from "Linear Algebra" textbook. Page 52: - Question Number: - 5,7,8,9. Page 54: -Question Number: - 27/b, 28, 29 Page 70: - Question Number: - 14, 15 & 17 Please mention each and every step.