Explore BrainMass

Explore BrainMass

    Matrices

    BrainMass Solutions Available for Instant Download

    The Hessian Matrix and Critical Points

    Identify the critical points and determine their nature (local max, local min, saddle, degenerate) using the Hessian of the function f(x,y,z) = x^2+y^2+2z^2+xz. See the attached file.

    Angles and matrices

    Project 3 2. Lance Armstrong won the 2003 Tour de France. The wheel on his bike had a 63 inch diameter. His average speed was 40 km / hour. What was the angular speed of the wheel in revolutions per hour? 3. A construction company is making picnic pavilions where the roof will be supported by two sets of beams. The bea

    Matrices for Linear Combination Vectors

    Please give step by step solution in detail. Determine if b is a linear combination of the vectors formed from the columns of the matrix A. A = 1 -4 2 , b = 3 0 3 5 -7 -2 8 -4 -3 2) List 5 vectors in span (v1, v2). For each vector show the weights on v1 and v2 used to generate the vector and

    Matrices : Vector Equations

    Please give step by step instructions and name each step like triangular form, augmented matrix etc so I know when and what to do and can understand it. We are not using calculator so the steps need to be shown to the solution. 1) Compute u + v and u - 2v u = -1 ; v = -3 2 -1 2) Display the following vector

    Geometric series and matrix

    1. Suppose that A = ... and C = ... (see attachment). Find a matrix for B such that AB = C or prove that no such matrix exists 2. Find the sum ... (see attachment)

    Decision making using matrix reduction

    I am having problems coming up with the equations(systems)to use for the following word problem. I don't usually have a problem with solving matrices infact I like them but I can't even get started on this problem. A company produces two products, A and B For each unit of A sold the profit is $8, and for each unit of B the pr

    Matrix Reduction

    I am to use matrix reduction on this problem. I can solve systems by matrixs with out any problem but I can't seem to set up the two equations for this problem so that I can even turn them into a matrix and solve. A company produces desks on both the east and west coast. The east coast plant, fixed costs are 16000 per year an

    Euclidean Group : Forming a Group under Matrix Multiplication

    Please see the attached file for the fully formatted problems. The Euclidean group is defined as E3 ={X R 4 4 | X = , R O3, t R 3} Where O3 is a 3 3 orthogonal matrix, therefore R is an element in O3. R 4 4 means real 4 4 matrix vector space. R 3 means real 3-dimensional vector space. 0 in

    Multiply matrices

    Multiply matrix a by matrix b matrix a: row 1 = [0 1 2] row 2 = [-1 4 .5] row 3 = [1 3 0] matrix b: row 1 = [3 -1 5] row 2 = [0 2 2] row 3 = [4 -6 0]

    Matrix Operations for Inverse Functions

    Let AX =C, If B is the inverse of A, then the solve the matrix X Matix B(3x3)row 1 = -17 78 24 row 2 = -3 13 4 row 3 = -10 16 5 Matrix C(1x3) row 1 = 24 row 2 = -686 row 3 = 2246

    Matrix Inverse Operations

    #5 M is a (3*3) matrix, use the identity matrix to find the inverse of M= 1 5 42 -7 -34 -287 28 136 1149

    Matrix Series Trace Log

    Please see the attached file for the fully formatted problems. Let K be an nxn matrix and .. a small number. Imitating .... valid for small x, it is natural to define .... Explain why this makes sense. Prove trace log... = log det.... Still with ... small so that everything makes sense.

    Matrix Series : Trace Log and Log Det

    Please see the attached file for the fully formatted problems. Let K be an nxn matrix and  a small number. Imitating ..... valid for small x, it is natural to define .... Explain why this makes sense. Prove trace log = log det(I + K) Still with  small so that everything makes sense. Hint: What is I − K +2K2

    Diagonal Matrix

    Diagoalize te given matrix: A= 3 1 1 1 0 2 1 2 0 an find an orthogonal matrix P such that P'-1(Pinverse)AP is diagonal.

    Orthogonal Matrix

    Verify that P= 2/3 -2/3 1/3 2/3 1/3 -2/3 1/3 2/3 2/3 is orthogonal matrix.

    Symmetric matrix

    What is the symmetric matrix of the quadratic form 2x^2 - 8xy + 4y^2?

    Jacobian Matrix of a Function and its Inverse

    Please see the attached file for the fully formatted problems. Consider the map f : (x,y)-. (x+y, xy) for 0'y'x. Find the inverse see attached As this is an analysis question, please be sure to be rigorous and as detailed as possible. I would also prefer the solution in PDF format. Thank You.