1 -2 10 (3) For which c does the system with augmented coefficient matrix 1 -3...
Use the augmented matrix A = 1 3 6 10 0 0 1 olo 0 0 0 0 0 0 0 0 0 0 far 1. Circle the pivots in the matrix A 2. Write the system of equations represented by A. 3. Identify each variable you used in the system as either basic or free. 4. Express the set of all solutions to the system of equations from (2) as a single vector. 5. Will the solution set be...
(1 point) Consider a linear system whose augmented matrix is 1 | 1 | 3 1 2 10 3 -5 k -1 -3 -16 For what value of k will the system have no solutions? k =
Below is the augmented matrix of a linear system. The unknown is a real number. 1 2 -1 0 4 2 3 -1 -1 5 0 1 -1 1 3 3 5 -2 0 10 | 1 0 2 d Several steps in finding the RREF have been done and now the matrix looks like: [1 1 0 1 3 31 0 1 -1 -3 -1 | -6 0 0 0 2 2 4 0 0 0 0 0 1...
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
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...
of the linear system whose augmented matrix is the matrix (b) Find all solutions (in vector form ſi 0-5 -6 0 77 B = 0 1 4 -1 0 2 . 0 0 0 0 1 -3
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 +...
(1 point) Convert the system 2r 8r2 3r. 3 1 to an augmented matrix, Then reduce the svstem to echelon form and determine if the system is consistent, If the system in consistent, then find all solutions. Augmented matrix Echelon form s the system consistent? select Solution: (1, 2, T3) + S1. Help: To enter a matrix use [ ][ ]] For example, to enter the 2 x 3 matrix 2 3 6 5 you would type T1,2,31[6,5,41n, so each...
(1 point) Convert the augmented matrix 3 31 2 2 1 3 -5 0 to the equivalent linear system. Use x1 and x2 to enter the variables xi and r2 -2x1+3x2 -3 -9 x2 x2 C (1 point) Convert the augmented matrix 3 31 2 2 1 3 -5 0 to the equivalent linear system. Use x1 and x2 to enter the variables xi and r2 -2x1+3x2 -3 -9 x2 x2 C
Consider the homogeneous linear system 45+y+3 z=0,22 +2y=0,-1-3=0] Give the coefficient matrix for this system: ab sina a az f Give the augmented matrix for this system: ab sin(a) :: 8 a 2 Reduce the augmented matrix to reduced row-echelon form: b sin (@ a ar ::: Give a basis for the set of all solutions of the system. Syntax: Enter your answer as a set of vectors in one of the following forms (depending on the number of vectors...