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CLASSROOM ACTIVITY 3.7D 1. The reduced row echelon form of an augmented matrix representing a system of linear equations is given by: Given the augmented matrix: 10 1 - 1 - 2 Loo. -7 a. lain how you can make the element in the element in the 3" row, 3" column What can you conclude about the solution to the system of equations? equal to I. Then perform the operation. HAHD b. Explain how you can make the elements in rows 1 and 2 (column 3) equal to O. The reduced row echelon form of an augmented matrix representing a system of Then perform the operations. linear equations is given by: [1 0 | 6] AJO What can you conclude about the solution to the system of equations? 4. Write the solution set for the system. 2x - 4y+ 2z= 3x - y- 22 =5 2x + 6y+32=-10 3. The reduced row echelon form of an augmented matrix representing a system of linear equations is given by: What can you conclude about the solution to the system of equations? CLASSROOM ACTIVITY 3.7C CLASSROOM ACTIVITY 3.7B Follow the steps outlined below to solve the system. 21-4y + 22 = 1 1 . Given the system : 2x - 2= 4 + by+32=-10 a. Write the augmented matrix for this system: 1. Given the augmented matrix: 3 - 1 - 2 10 1 -10 To make the element in the 1" row. 1" column equal to 1. multiply row 1 by + (row 2 is unchanged). Explain how you can make the element in the element in the I" row. I" column equal to 1. Then perform the operation. I IT c. To make the element in the 2" row. 1" column equal to 0, multiply row 1 by -4 and add the result to row 2 (note: only row 2 will change). b. Explain how you can make the elements in rows 2 and 3 (column 1) equal to O. Then perform the operations. d. To make the element in the 2" row, 2" column equal to 1, multiply row 2 by 2. Given the augmented matrix: 05 2 1 - 10 0 10 1 - 20 a. Explain how you can make the element in the element in the 2" row. 2" column equal to 1. Then perform the operation. To make the element in the 1" row, 2" column equal to 0, add row 2 to row 1 (note: only row 1 will change). b. Explain how you can make the elements in rows 1 and 3 (column 2) equal to 0. Then perform the operations. f. Write the solution set. Intermediate Algebra, 5" edition 78 Miller/O'Neill/ Hyde 2018