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Matrices

Matrix System

Solve the system with the initial value... see attached. Solve the system -20 5 -20 5 with the initial value 0 -6

Question about Fields : Complex Numbers

Please see the attached file for the fully formatted problems. LET H = a b -b a : a,b is an element of C (complex numbers) Is (H, +, .) a field? If not, give reasons.

Matrices and Vectors : Linear Independence

Please see the attached file for the fully formatted problems. Let A = [ -5, 6, -19] B= [-1, 2, -3] and C= [-2, 2, -8] Determine whether or not the three vectors listed above are linearly independent or linearly dependent. **they are linearly independent*** The vectors were written horizontally this time, as they ofte

Inverse Matrix

If matrix A = [given], solve for the inverse matrix A-1. *(Please see attachment for complete problem)

Matrix Solutions

Determine the value of K for which the system has no solutions. (See attachment for full question)

Matrix System

{ x + y = 6 { 4x - 2y = 42 {10x - 2y = 96 (See attachment for full question)

Matrix Systems

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

Matrix Systems

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

Matrix System

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

Matrix (Row Operations)

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

Augmented Matrix

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

Matrix Determinant

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

Matrix Product

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

Matrices : Inverses and Determinants

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}.

Matrix operations

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]

Important information about eigenvectors and eigenvalues

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

Hessian Matrix Problem

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

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