Question 6 Not yet answered Marked out of 20.00 Flag question 43 Solve the following system by Gauss-Jordan Elimination: 5x1-2x2+3x3=16 2x₁+3x2-5x3=2 4x1-5x2+6x3=7 Augmented matrix is: 5 -2 3 16 2 3 -5 2 4 -5 6 7 What is the goal of this method? To obtain the matrix in the form: 0 10 m] 0 11 10 O Inl B What will you record as a solution of the given matrix? X1= X₂= X3 Step 1. Need to get 1 in a Using the following row operation: (-1) R3+ R1 --> R1 Enter the resulting matrix: Step 2. Need to get 0 in a Using the following row operation: Enter the resulting matrix: Step 3. Need to get 0in a 4 Using the following row operation: Enter the resulting matrix: XR XR +R +R ->R -->R o 31 Step 4. Need to get 1 in a Using the following row operation: R --> R Enter the resulting matrix: *Note: from now on, if you get any numbers that are not integers, use improper fractions. Example 3/2, -45/3. Use forward slash "/" symbol for division. No parenthesis () needed. 4 Step 5. Need to get 0 in a Using the following row operation: XR +R -->R Enter the resulting matrix: Step 5. Need to get 0 in a Using the following row operation: Enter the resulting matrix Step 6. Need to get 0 in a Using the following row operation: Enter the resulting matrix: XR XR +R +R ->R -->R 27°C Haze Get Homework Help With Chegg X empt.php?attempt=210041&cmid=65038&page=5 Step 7. Need to get 1 in a Using the following row operation: Enter the resulting matrix: Step 8. Need to get 0 in a Using the following row operation: hs Enter the resulting matrix: + xR XR +R ->R ->R Step 9. Need to get 0 in a Using the following row operation: Enter the resulting matrix: Write the final matrix in equation form: X₁+ X₂+ X3 = X2+ X3 = X2+ X3 Solution of the system: XR +R -->X= X2= -->X3= -->R