Consider the reduced row-echelon form of the augmented matrix of some system of linear equation in...
(5 points) The following augmented matrix is in reduced row echelon form. Decode from the matrix the solution of the corresponding system of linear equations (using the variables X1, X2, and x3) or state that the system is inconsistent. (if a free variable is needed use the parameter t.) 1 0 3121 0 1 53 Lo 0 olo) con (10 points) Use row operations to compute the inverse of the matrix A = [ 53 -2] and use it to...
The matrix given is in reduced echelon form 1 0 0 0 1 0-5 0 0 1 7 C 0 0 0 0 6. Write the system of equations represented by the matrix. (Use x as your variable and label each x with its corresponding column. Enter x_1 for x1, x_2 for x2, x_3 for x3, and x_4 for x4.) = 0 row 1 = 0 row 2 row 3 row 4 0 there is no solution, enter NO SOLUTION.)...
Given the following system of linear equations 1. 2xi + 4x2 + 8 x3 + x. +2x,3 a) Write the augmented matrix that represents the system b) Find a reduced row echelon form (RREF) matrix that is row equivalent to the augmented matrix c) Find the general solution of the system d) Write the homogeneous system of equations associated with the above (nonhomogeneous) system and find its general solution. Given the following system of linear equations 1. 2xi + 4x2...
Section 1.2 Row Echelon Form: Problem 6 Previous Problem Problem ListNext Problem (1 point) Solve the system by finding the reduced row-echelon form of the augmented matrix. reduced row-echelon form How many solutions are there to this system? A. None B. Exactly C.Exactly 2 D. Exactly 3 E. Infinitely many F. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, enter in the answer blank for...
The matrix is the reduced echelon matrix for a system with variables x1, x2, x3, and x4. Find the solution set of the system. (If the system has infinitely many solutions, express your answer in terms of k, where x1 = x1(k), x2 = x2(k), x3 = x3(k),and x4 = k. If the system is inconsistent, enter INCONSISTENT.) 1 0 0 0 | −5 0 1 0 0 | 3 0 0 1 0 | −5 0 0 0 1...
053/1 polnls Previous Answo TanFin12 2.3.011 Given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of a system of linesSequations, do representing the columns in turn.) 10 0 0 2] 0 1 0 0-s 0 0 1 17 0 000 o (a) Determine whether the system has a solution. O The system has one solution. o The system has infinitely many solutions. O The system has no solution. (b) Find the solution or solutions to...
The following augmented matrix is in row echelon form and represents a linear system. Use back-substitution to solve the system if possible. 1 1-16 0 112 0 0 11 What is the solution to the linear system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is (Simplify your answer. Type an ordered triple.) There are infinitely many solutions. The solution set is x. Type an ordered triple....
4. Give the row-echelon form and the reduced row-echelon form of the matrix: A = 11 2 0 -1 12 1 -2 51 1 -1 0 1] row-echelon form: reduced row-echelon form:
Use Gaussian elimination to find a row echelon form (not reduced row echelon form) of the augmented matrix for the following system, and then use it to determine for which value of a the following system has infinitely many solutions. x - 2y + 4z = 1 * +3y + z = -9 2x - 3y + az = 0
JU PUH T AUTACJIU 11.3.05J. The matrix is the reduced echelon matrix for a system with variables X1, X2, X3, and X4. Find the solution set of the system. (If the system ha answer in terms of k, where x1 = x2(K), X2 = x2(K), X3 = x3(k), and X4 = k. If the system is inconsistent, enter INCONSISTENT.) 1oool-3 0 1 0 0 5 0 0 10-4 Loool of (x1, x2, X3, Xa) - vou