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    Linear Algebra

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    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

    Fibonacci Sequence - the matrix approach

    The Fibonacci sequence is defined recursively as f_(n+1) = f_n + f_(n-1) . Obtain a closed form formulas for f_n using the iteration matrix (0,1,1,1) applied to the vector .. (see attached file). Consider a similar transform to diagonalize the iteration matrix.

    Business Algebra

    II. You are planning on applying for a job with ABC Advertising. Many business decisions are based on unknown quantities, known as variables, encountered in business, economics, and social science. Thus, before the interview, you want to brush up on your knowledge of linear equations and linear inequalities. Complete the followi

    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

    Algebra: Systems of Equations

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

    Mathematics - Linear Operators Solutions

    Find the solution to the problem showing all the work. 2.) Find the solution of the following system of linear equations: x + 2y - 7z = -1 3x + 7y - 24z = 6 x + 4y - 12z = 26

    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 Equations: The Median Age of First Marriage

    The median age at first marriage for females increased from 24.5 years in 1995 to 25.1 years in 2000 (U.S. Census Bureau, www.census.gov). Let 1995 be year 5 and 2000 be year 10. a.) Find the equation of the line through (5, 24.5) and (10, 25.1). b.) What do x and y represent in your equation? c.) Interpret the slope of

    Equivalent statements

    Determine which, if any, of the three statements are equivalent. a) If today is Monday, then tomorrow is not Wednesday b) It is false that today is Monday and tomorrow is not Wednesday c) Today is not Monday or tomorrow is Wednesday

    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

    Matlab and Equations: Example Problems

    Part 1: Solve the following system of equations by using the Matlab utility that reduces a matrix to reduced row-echelon form. 2*10^8(x1)-2*10^8(x3)=1*10^8 1*10^-8(x1)+2(x2)+(x4)=2*10^-3 (x1)+(x3)=1 1.1*10^-8(x1)+2(x2)+(x4)=1*10^-3

    Linear equation relating to every day life

    create a system of linear equations from your own life, it can be an extension of previous work or something new entirely. Keep in mind that a system of linear equations will consist of two equations using the same variables and the variables will represent the same thing for both equations, i.e., if you use X as a variable in

    Lp Spaces and Convergence

    Please see the attached. You can help with either part a or b. If you can help with one of them then I will try to figure out the other. Also there is a typo on part a: Convergence of the sequence of random variables should not be in probability it is convergence almost surely. So on the top of the arrow of the given converge

    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

    Diagonalizability Matrices Diagonalizable

    Please see the attached document Thank-you for your help. For each of the following matrices, determine whether or not the matrix is diagonalizable. You may use technology to find the eigenvalues and to row reduce matrices, but that's all. Show your work and explain why the matrix is or isn't diagonalizable. (a) A=

    Eigenvectors and Eigenvalues Matrices

    Please see the attached Word document. Thank-you very much for your help. Suppose that A and B are n x n matrices such that A = SBS-1 (where S is an invertible matrix), so A and B are similar matrices. (a) Show: if v is an eigenvector of B with eigenvalue μ, then Sv is an eigenvector for A. (Remember that only non

    Multiplicities and eigenvalues

    Please see the attached Word document. Thank-you for your help. Suppose A and B are similar matrices, and that μ is an eigenvalue of A. We know that μ is also an eigenvalue of B, with the same algebraic multiplicity. Suppose that g is the geometric multiplicity of μ, as an eigenvalue of B. Show that μ

    Matrix and eigenvalues

    Please see the attached Word document. Thank-you for your help. 3. Suppose that A is a square matrix, and that the only eigenvectors of A are scalar multiples of the vector: Deduce as much information as you can about A, by answering the following questions. Give reasons for your answers. (a) What size is A? (b) H

    Several problems on exponents, equations/system of equations

    Question #1 / 50 Evaluate. Question #2 / 50 Simplify the following expression: . Question #3 / 50 The volume of a right circular cone is given by . The letter stands for the radius of the circular base of the cone, and is the height of the cone. Solve for . Question #4 / 50

    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