Give an example of a 2x2 system of linear equations which is inconsistent and independent. Explain...
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 =...
Find the value of k such that the system of linear equations is inconsistent.{4x-8y = -3{2x+ky = 16I know that the answer is k = -4 but I don't know how to solve to get that answer.
For what value of a is the following system of linear equations inconsistent? x + ay 3+ y ā 4 -1 a=
is this consistent or inconsistent? if it is consistent, state wether the equations are dependent or independent. Graph the following system of equations and find any solutions. Check the answers. Identify the system as consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent X - 3y - 18 - 3x + y = 6 Click to enlarge graph What is the solution to the system? Select the correct choice below and, if necessary...
please explain every step. thanks Consider the following system of linear equations ri (a) For what values of r and s is this system of linear equations inconsistent? (b) For what values of and s does this system of linear equations have infinitely many solutions? (ey For what values of and s does this system of linear equations have a unique solution?
Consider the following system of linear equations. x1 + 2x2 = 2 x1 ā x2 = 2 x2 = 1 (a) Give a brief geometric interpretation of the solution set of the system. (b) By hand, find the RREF of the augmented matrix of the system, indicating the row operations you are using at each step. (c) Is the system consistent? (d) Find the solution set of the system.
Please write neatly and clear. Thanks in advance. 3. Consider the following system of equations: x1 + 2x2-1x3 + 9x4 =1 -2x1 4x2 3x2-4x3 -3x1 +4x2 + 3x3-713 Find the solution (if there is one) to the system of equations. Define if the system is consistent or inconsistent. Give a geometric description of the solution if it exists a. b. c. 3. Consider the following system of equations: x1 + 2x2-1x3 + 9x4 =1 -2x1 4x2 3x2-4x3 -3x1 +4x2 +...
2. Consider the following system of linear equations: -*1 + 2x2 - 13 = 2 -2:21 +222 + x3 = 4 3x1 + 2.02 +2.03 = 5 -3.21 + 8.22 + 5.23 = 17 (a) Put the system of linear equations into a coefficient matrix. (b) Find the reduced row echelon form of the coefficient matrix. (C) What is the dimension of the row space the coefficient matrix?
4. Answer the questions below. (a) (10 points) Give an example of a linear system of two equations in two variables which is incon- sistent. Give both equations in the form Ar + By = C, where A, B,C are integers and A > 0. Graph the system below. (b) (10 points) Solve the system below. Give the answer as an ordered triple (x, y, z). - 7x 13y + 563 - 23 2x + 19y + 163 - +...
Solve the system of linear equations using the Gauss-Jordan elimination method. 3x1 2x2X316 x1 + 2x2 + 2x3 = 12 (X1, X2, X3) =