Matrix System

Related BrainMass Solutions

• Matrices : Row Echelon Forms and Systems of Linear Eqations

  Suppose each matrix represents the augmented matrix for a system of linear equations. In each case, determine if the system is consistent.

• Inconsistent System and Augmented Matrix

  100428 Inconsistent Systems and Augmented Matrices Inconsistent system a. a system with no solution b. a system of inconsistent equations c. a system that is incorrect d. a system that we are not sure how to solve Augmented Matrix a. a matrix

• Matrices and Linear Systems of Equations

  Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. 6) Solution. We reduce the above augmented matrix by row operations.

• Reduced Row Echelon Form of Homogeneous Systems of Equations

  Swapping the first and second rows of the augmented matrix in part A would give the augmented matrix in part B. (c) The augmented matrix of the system is: The REF form of a matrix is not unique.

• Control Systems (Transfer Function; Open / Closed Loop System; Observable / Unobservable)

  Open Loop System: Matrix (sI-A): s+3 -1 -1 s Matrix [(sI-A)^(-1)]: 1/{s^2 + 3s -1} * s 1 1 s+3 Hence, H(s) = (s+2)/{s^2 + 3s -1} -----(a) Closed Loop System: A1 = A-BK, K = [1 5] Matrix A1: -4 -4 +1 0 Matrix (sI-A1):

• Matrices

  So is a fundamental matrix for the given system. From the fundamental matrix, the general solution of the system is Then Thus the solution is 3.

• matrix that does not have a determinant

  So if we have in the equations system two or more linearly dependent equations, the system has no solutions and its matrix has no inverse.

• Matrix Factorization for solving linear equations

  The matrix above is the upper triangular matrix U Then: And: In our case: Thus the solution of the system: Furthermore, when we define the matrix: Then In our case: And indeed: Which is called "the LU decomposition

• Solving Linear System of Equations by Matrix Method

  305300 Solving Linear System of Equations by Matrix Method Use Row Reduction and Back Substitution to solve the given Linear System of Equations. Write the Augmented Matrix for each of them.

• Solving the linear system using Gaussian elimination

  Now let's take a look an example: We have the following linear system: So in the matrix form, the system is In the augmented form, this becomes Now with solve the system by Gaussian elimination.