Two augmented matrices for two linear systems in the variables x, y, and z are given...
Can you please fill in the missing boxes Two augmented matrices for two linear systems in the variables x, y, and z are given below The augmented matrices are in reduced row-echelon form. For each system, choose the best description of its solution. If applicable, give the solution. O The system has no solution. O The system has a unique solution. 170 91 o 01 -2 The system has infinitely many solutions. The system has no solution. O The system...
The reduced row echelon form of a system of linear equations in x and y or in x, y and z is given. For each system, determine whether it has a unique solution (in this case, find the solution), infinitely many solutions, or no solutions. [1 0 0 4 0 1 0 4 Loo 01-4] A. Unique solution: x = 4, y = 4, z = 0 B. Unique solution: x = 4, y = 4, z = -4 C....
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...
The reduced row echelon form of a system of linear equations in x and y or in x, y and z is given. For each system, determine whether it has a unique solution (in this case, find the solution), infinitely many solutions, or no solutions. 1. [ 1 0 I 0 ] [ 0 1 I 0 ] [ 0 0 I 0 ] A. No solutions B. Infinitely many solutions C. Unique solution: x=1,y=1,z=0 D. Unique solution:...
O SYSTEMS AND MATRICES Classifying systems of linear equations from graphs from both sides of System B System System A Line 11 y=-2x+5 Line 11 yx+4 Line 1: Line 2: y=x-1 Line 2:y2-4 Line 2: x+2y-6 ms that don't con Tap oblem. This system of equations is. inconsistent O consistent dependent consistent independent This system of equations is inconsistent consistent dependent consistent independent TNS means the system has: [ - This system of equations is: inconsistent O consistent dependent O...
Solving a 2x2 system of linear equations that is inconsistent or... Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. O The system has no solution. The system has a unique solution: x + 4y - 8 = 0 -x - 4y = 8 (y= 00 The system has infinitely many solutions. They must satisfy the following equation: The system has no solution. x + 4y =...
3x0+1x2 + ! 040-2 8] [3 11. The augmented matrix for the linear system of equations in the unknowns a, y, z has reduced row,echelon form given by 1401 0 01 -2 The general solution to this syste is (D) x = 1, y =-2, z = 0 (E) No solution 3x0+1x2 + ! 040-2 8] [3 11. The augmented matrix for the linear system of equations in the unknowns a, y, z has reduced row,echelon form given by 1401...
Find the augmented matrix of the linear system X +y+z= -8 X – 3y + 3z = -4 X – Y + 2z = -6. Use Gauss-Jordon elimination to transform the augmented matrix to its reduced row- echelon form. Then find the solution or the solution set of the linear system.
2. Find the augmented matrix of the linear system X – y + z = 7 x + 3y + 3z = 5 X – Y – 2z = 4 Use Gauss-Jordon elimination to transform the augmented matrix to its reduced row- echelon form. Then find the solution or the solution set of the linear system.
1. Consider the following augmented matrix of a system of linear equations: [1 1 -2 2 3 1 2 -2 2 3 0 0 1 -1 3 . The system has 0 0 -1 2 -3 a) a unique solution b) no solutions c) infinitely many solutions with one free variable d) infinitely many solutions with two variables e) infinitely many solutions with three variables