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O SYSTEMS AND MATRICES Classifying systems of linear equations from graphs from both sides of System...
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 =...
Module 4B Written Homework NAME CLASS SECTION Each question is worth five points. Clearly show all work and identify your final answer. Be sure to simplify all answers and include units if necessary For each of the systems of linear equations shown below, classify the system as consistent dependent, consistent independent, or inconsistent. Then determine if the system has one unique solution, no solution, or infinitely many solutions. 1. 9 a. Line 1: y4 Line 1: y-2x+ Line 2:yx+6 b....
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...
(c) Consider the system of linear equations 3 1 4a -1x2, where a 2 a a+1 Determine the value(s) of a such that the system is is a scalar. (i) consistent with infinitely many solutions; (ii) consistent with one and only one solution; and (ii) inconsistent. 20 marks Solve the system when it is consistent. (c) Consider the system of linear equations 3 1 4a -1x2, where a 2 a a+1 Determine the value(s) of a such that the system...
Write each statement as True or False (a) If an (nx n) matrix A is not invertible then the linear system Ax-O hns infinitely many b) If the number of equations in a linear system exceeds the number of unknowns then the system 10p solutions must be inconsistent ) If each equation in a consistent system is multiplied through by a constant c then all solutions to the new system can be obtained by multiplying the solutions to the original...
solve the following system of equations using matrices(row operations). If the system has no solution, say that it is inconsistent This Question: 1 pt 4 of 10 (7 complete) Thie Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -x + y + Z=-3 -x + 4y - 8z = -21 6x - 3y - 15z = 0 Select the correct choice below and, if necessary, fill in...
1-1 11?? (c) Consider the system of linear equations | 3 1 40-1 | x = | 2 | , where a 2 a a+1 is a scalar. (i) 1 (ii) Determine the value(s) of a such that the system is consistent with infinitely many solutions; consistent with one and only one solution; and , (iii) inconsistent. Solve the system when it is consistent. 20 marks
Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. The system has no solution. x2y 8 The system has a unique solution: -x- 2y = 8 The system has infinitely many solutions. They must satisfy the following equation: The system has no solution. x+ 2y 4 The system has a unique solution: X-2y=-4 () D The system has infinitely many solutions. They must satisfy the following equation:...
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...
Solve the system. If a system has ope unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. 2x+3y+5z=-23 -4x+2y+4z=9 -6x=y+13z=-5 Select one: a{(-1, -2, -3) b. Infinitely many solutions, dependent a. No solution, inconsistent