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    Linear Algebra

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    Word Problems Involving Linear Equations in Two Variables

    1. Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city. a) The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floo

    Modeling with Linear Equations

    There was several questions ask from my algebra class as a homework which I am having difficulty answering. Please help me solve for them thanks. The equation y = 1.13x + 7.85 represents the average monthly cost in dollars for cable television where x represents the number of years after 1980. Use this equation to answer the

    Show that f is proper if and only if f* is continuous

    Let X and Y be locally compact Hausdorff spaces. Let X* and Y* be their one point compactifications. Let f be a continuous map from X to Y. Let f* be the map from X* to Y* whose restriction to X is f, and which takes the point at infinity in X* to the point at infinity in Y*. Show that f is proper if and only if f* is contin

    Solving Systems of Equations

    1. y-2x=0 y=8x-9 What is the solution of the system of equations? (i need graph also) 2. r-6s=0 9r-8s=230 What is the solution of the system? 3. x+y= -13 9x+y= -61 What is the solution of the system? 4. (1,2); 6x-5y= -4 2x-7y= -12 is the given ordered pair a solution of the s

    Linear Algebra

    Linear Algebra. Subspace... Please solve for parts (a) and (b). Please show each step of your solution. Thank you.

    Invertible matrix proof

    Linear Algebra Transpose. Please show each step of your solution. Thank you. Suppose that A is invertible....

    Linear Algebra

    Linear Algebra. Transpose. Please solve for part (h) and (i). Please show each step of your solution.Thank you.

    Linear Algebra : Subspaces

    Please show each step of your solution. Thank you. a. Let U and V be subspaces of R^n. Define the intersection of U and V to be U n V = {x E R^n : x E U and x E V}. Show that U n V is a subspace of R^n. Give two examples. b. Is U u V = {x E R^n : x E U or x E V} a subspace of R^n? Give a proof or counterexample.

    Solving Linear Equations

    Please see the attached file for the fully formatted problems. 1. Solve . You must show all work to receive full credit. Show work here: Final answer: 2. Solve . You must show all work to receive full credit. Show work here: Final answer: 3. A real

    Linear Algebra : Solving Ax=b

    Linear Algebra. The Material is from INVERSE MATRICES. Please explain each step of your solution and check your typos. Thank you.

    solving system of linear equations using matrix method

    1. Write the augmented matrix for the system of linear equations. a) 3x-2y+5z=31 x+3y-3z=-12 -2x-5y-3z=11 b) x-2y+3z=9 y+3z=5 z=5 3. write the system of linear equations represented by the following matrix. Use x,y, and z as variables: 4. Perform row operation and write the new matrix. 5. Solve the system of

    Solving Linear Systems of Equations with Matrices

    MTH212 Unit 3 - Individual Project A 1. To raise money, the local baseball teams decided to sell team logo hats (H) and T-shirts (T). The league director decided to hold a contest among the teams to see which team can raise the most money. The contest lasted for 3 weeks. Here are the results of the first 2 weeks. The num

    Word Problems and Systems of Equations

    Train Tickets At the the Pittsburg zoo, children ride a train for 25 cents, adults pay $1.00, and Senior citizens 75 cents. On a given day, 1400 passengers paid a total of $740 for the rides. There were 250 more children riders than all other riders. Find the number of children, adult, and senior riders. Manufacturing St

    Algebra : Word Problems and Systems of Equations

    Rowing Speed: Hank can row a boat 1 mi upstream (against the current) in 24 min. He can row the same distance downstream in 13min. If both the rowing speed and current speed are constant, find Hank's rowing speed and the speed of the current. Airplane Speed - An airplane flying with the wind from Los Angeles to New York Ci

    Systems of Equations and Inequalities Word Problems

    Statistics. After reading an article on the front page of The New York Times titled "You Have to Be Good at Algebra to Figure Out the Best Deal for Long Distance," Rafaella De La Cruz decided to apply her skills in algebra to try to decide between two competing long-distance companies. It was difficult at first to get the compan

    Forty six questions related to finding factors, prime numbers, Greatest common factor, Least common factor, fractions, mathematical operations, solving linear equations, coordinate geometry, graphing, slope intercept form of graphs, inequality graphs, solving a system of equations and word problems.

    Complete and please show all the work. Please see attached file for full problem description. 1. List all the factors of 45. 2. Which number is prime? A) 1 B) 12 C) 31 D) 99 3. List all the prime numbers between 25 and 60. 4. Find the GCF for 68, 85, and 153. 5. Find the LCM for 18 and 27. 6. Mul

    Matrix method to solve the linear system of equations

    Please see the attached file. 3. A company's employees are working to create a new energy bar. They would like the two key ingredients to be peanut butter and oats, and they want to make sure they have enough carbohydrates and protein in the bar to supply the athlete. They want a total of 22 carbohydrates and 14 grams of prot

    Linear Algebra: Hyperplanes

    The equation 2x_1 + 2x_2 - 3x_3 + 8x_4 = 6 defines a hyperplane in R^4. a. Give its normal vector a. b. Find its distance from the origin using dot products. c. Find the point on the hyperplane closest to the origin by using the parametric equation of the line through 0 with direction vector a. Double-check your answer in

    Linear Algebra - Vectors that Bisect Angles

    20. a. Let x and y be vectors with |x| - |y|. Prove that the vector x + y bisects between x and y. b. More generally, if x and y are arbitrary nonzero vectors, let a = ||x|| and b = |y|. Prove that the vector bx + ay bisects the angle between x and y