matrix equation

Related BrainMass Solutions

• Characteristic equation of a matrix and inverse of a matrix

  45432 Characteristic equation of a matrix and inverse of a matrix Linear Algebra Matrices Eigen Values and Eigen Vectors(I) Find the characteristic equation of the matrix A = [1, 3, 7; 4, 2, 3; 1, 2, 1] Show that the equation

• Matrices and Pivot Positions : Solutions for Ax+0 and Ax=b

  In problems 1-4 (a) does the equation Ax=0 have a nontrivial solution and (b) does the equation Ax=b have at least one solution for every possible b? 1) A is a 3x3 matrix with three pivot positions.

• Matrices And Vectors : Matrix Products, Ax=B and Linear Combinations

  b) A vector b is a linear combination of t he columns of a matrix A if and only if the equation Ax=b has at least one solution. c) The equation Ax=b is consistent if the augmented matrix {A b} has a pivot position in every row.

• Square Matrix with Determinant Equal to 0 and Basis for a Solution Space

  (ii) Given that x = X + x0, Applying the matrix operator A on both sides of this equation, Ax = A(X + x0) Or Ax = AX + Ax0 because matrix multiplication is distributive over addition. Or Ax = 0 + 0 = 0, from (i) and (ii).

• Assorted Linear System of Equation Questions

  of equation 2 to get -27y=34. hence y=-2. substitute y=-2 into equation 1 to get x=1. choose A 11. choose B: the matrix is in row-reduced form as left side of the matrix is an identity matrix 12. choose B: the matrix is NOT in row-reduced form

• Eigenvalues, Eigenvectors, Characteristic Equation for a Matrix, Modal Matrix, Spectral Matrix and Couples System of Equations

  74900 Eigenvalues, Eigenvectors, Characteristic Equation for a Matrix 2. The time-dependent variables z, y and z satisfy the system of equations Xdot = AX where (a) Show that the characteristic equation for the matrix A may be written as ....

• Systems of Ordinary Differential Equations

  The eigenvector may be solved from the equation Thus we have , whence is an eigenvector of A with corresponding eigenvalue . Find the fundamental matrix Φ(t) The fundamental matrix is a matrix with columns . Thus we have .

• Conic graph

  using the matrix form of an equation.

• Solving the linear system using Gaussian elimination

  To perform Gaussian elimination starting with the system of equations Compose the "augmented matrix equation" Here, the column vectors of the variable is carried along for labeling the matrix rows.