. [1/4 Points] DETAILS PREVIOUS ANSWERS ROLFFM8 2.3.022. MY The matrix given is in reduced echelon form. 1 02 -4 0 1 5 2 0 0 0 0 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 xy, X2 row 1 x + 2y = -4 X row 2 x + 5y TOW 3 0 0 Find the solution, if possible. (If there are...
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...
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
Consider the reduced row-echelon form of the augmented matrix of some system of linear equation in x1, x2, x3, x4, x5, x6 given by 1 0 0 0 -1 0 -16 0 1 0 0 -1 20 0 0 1 0 -1 1 1 1 12 0 0 0 1 -1 24 0 0 0 0 0 0 0 Suppose that the solutions satisfy the constrains x1 > 0, x2 > 0, X3 > 0, x4 > 0, X5 >...
(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...
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...
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...
2) The row echelon form of a system of linear equations is given. a) Write the system of equations corresponding to the given matrix. Use x, y, z; or X1, X2, X3, X4 as variables. b) Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. 1 0 2 4 0 1 -1 2 1] 2 [1 2 317 i) 0 14 21 Lo o 03] il) 0 0 i 2 0 42] 10 1...
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
Given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of a system of linear equations, do the following. (Use x, y, and z as your variables, each representing the columns in turn.)1006010−40013(a) Determine whether the system has a solution.The system has one solution.The system has infinitely many solutions. The system has no solution.(b) Find the solution or solutions to the system, if they exist. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your...