Exercise 1.2.16 Choose h and k such that the augmented matrix shown has each of the...
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...
Can you please explain how did you arrive to that answer. thanks For each of the following augmented matrices, decide whether or not the corresponding system has no solution, a unique solution, infinitely many solutions with one parameter or infinitely many solutions with two parameters. -1-2 -1-2 1 -3 4 - H -1-4 -4-2 1 -3 -4 4 1-5 0 -3 -3 -2 0 -4 3 -3 3 0 2 -1 7 2 1 A = B = 0 C...
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
1. For each of the following systems of linear equations, find: • the augmented matrix • the coefficient matrix • the reduced row echelon form of the augmented matrix • the rank of the augmented matrix • all solutions to the original system of equations Show your work, and use Gauss-Jordan elimination (row reduction) when finding the reduced row echelon forms. (b) 2 + 2x W 2w - 2y - y + y + 3z = 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...
Each of the matrices given below is an augmented matrix of a system linear equations. In each case decide if the system has no solutions, exactly one solution, or infinitely many solutions. Try to perform as few computations as possible. A= ſi 2 0 1 Lo 0 1 3 0 1 1 0 1 1 1 0 B= ſi 0 0 3 47 0 1 3 1 1 LO 0 1 1 0 C= [100 0 1 0 Lo 0...
Q3 (8 points) In the following A is a 3 × 4 matrix (3 rows, 4 columns) and the coefficient matrix of a system of linear equations. A. Find an example of such a matrix A and a vector b such that the system with augmented matrix [A | b] has no solution. Justify your answer. B. Find an example of such a matrix A and a vector b such that the system with augmented matrix [A | b] has...
Problem 1 (Linear Systems of Equations). (a) Determine the values of a for which the follow- ing system of equations have no solution, exactly one solution, infinitely many solutions (a + 2)y + (a2-4)2 = (0-2) (b) If A = 4-1 0 a 2b a a be the augmented matrix of a linear system of equations then evaluate the values of a and b for which the linear system has no solution? exactly one solution? one parameter solution? two parameter...
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...
Exercise 1.2.12 Consider the following augmented matrix in which * denotes an arbitrary number and I denotes a nonzero number. Determine whether the given augmented matrix is consistent. If consistent, is 34 - Systems of Equations the solution unique? * | 0 | 0 | 0 * I 0 0 * * * * 0 0 0 0 * o 0 *