The first screen shows the augmented matrix, A, for a nonsquare linear system of three equations in four variables, w, x, y, and z. The second screen shows the reduced row-echelon form of matrix A. -2 0 6 rref ((A]) [[10 0 2 [ [6 0 ] (0 10 0 (0 0 1.8 - 1 - 4 (6 -9 6 (1 1 1 1 a. Choose the system represented by A OA. OB. OC. 6w - x- 4y - 22 = 0 6w + x - 4y - 2z = 0 6w -x- 4y = - 2 6w - 9x + 6y = 6 6w - 9x + 6y + 6z = 0 6w - 9x +6y + 6z = 0 w+x+y +z=0 w+x+y-z=0 w+x+y =1 b. Use the reduced row-echelon form of A to find the system's complete solution. Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution set is (( D) (Simplify your answers.) O B. There are infinitely many solutions. The solution set is ((O z)}. where z is any real number. (Type expressions using z as the variable. Use integers or decimals for any numbers in the expressions.) OC. There is no solution.

The first screen shows the augmented matrix, A, for a nonsquare linear system of three equations in four variables, w, x, y, and z. The second screen shows the reduced row-echelon form of matrix A. -2 0 6 rref ((A]) [[10 0 2 [ [6 0 ] (0 10 0 (0 0 1.8 - 1 - 4 (6 -9 6 (1 1 1 1 a. Choose the system represented by A OA. OB. OC. 6w - x- 4y - 22 = 0 6w + x - 4y - 2z = 0 6w -x- 4y = - 2 6w - 9x + 6y = 6 6w - 9x + 6y + 6z = 0 6w - 9x +6y + 6z = 0 w+x+y +z=0 w+x+y-z=0 w+x+y =1 b. Use the reduced row-echelon form of A to find the system's complete solution. Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution set is (( D) (Simplify your answers.) O B. There are infinitely many solutions. The solution set is ((O z)}. where z is any real number. (Type expressions using z as the variable. Use integers or decimals for any numbers in the expressions.) OC. There is no solution.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 3CEXP

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