### Matrix Systems

Solve the System {x1 + x2 = -4 {x2 + x3 = 3 {x3 + x4 = -5 {x1 + x4 =-12 (See attachment for full question)

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Solve the System {x1 + x2 = -4 {x2 + x3 = 3 {x3 + x4 = -5 {x1 + x4 =-12 (See attachment for full question)

Solve the System { x1 - x2 - 3x3 = 6 {5x1 - 4x2 - 4x3 = 6 {2x1 + +16x3 =-36 (See attachment for full question)

{ 4x1 + x2 = -9 { 12x1 + 3x2 = -27 (See attachment for full question)

Solve the given system using matrices (row operations). *(Please see attachment for complete problem)

Write the augmented matrix of the given system. *(Please see attachment for system)

Please write the given system in matrix form. *(Please see attachment for complete problem, including system and outline of the form)

Find the determinant of the matrix... (See attachment for full question.)

[-1 4 4 ][ 3] [ 0 -5 1 ][-4] = ? [ 4 1 -3 ][ 3] (See attachment for full question)

2. (a) Find the matrix {see attachment}, evaluate |A| and use this to find {see attachment} (b) The matrices A and B are given by {see attachment}. Find A-1 and show that B-1 does not exist {see attachment for proper citation}.

Please solve, prove and factorize the attached equations.

Let G = GLsub2 (R). a) show that T = {[a b] ad not equal to 0} is a subgroup of G {[0 d] } b) Show that D = {[a 0] ad not equal to 0} is a subgroup of G {[0 d]

Please see the attached file for full problem description.

Let V be the set of real valued sequences {see attachment}. ? Check that V is a vector space over the field of real numbers, using addition of vectors {see attachment} and scalar multiplication {see attachment}. Let T be the linear shift map sending {see attachment}. ? Check that T is a linear transformation and comput

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

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

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

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

With these I need to find an ordered pair, an adjacency matrix, and a graph representation for the graph. a. C4. b. W5.

Describe the adjacency matrix for Kn, the simple complete graph with n nodes.

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)

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

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

Matrix row 1 = [0 1] row 2 = [1 0] Please find the inverse of the matrix. Make sure to show all steps and work involved.

Please solve for the following: Matrix row 1 = [1 .5] row 2 = [0 .5] Task: Find the inverse.

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]

Multiply Matrix[4 -1] over [2 .5] by matrix [3] over [2]

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

#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

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.

Please answer the following question: Find an adjacency matrix for Cn. (That's C 'sub' n)