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a Secure https://www.mathxd.com/Student/PlayerHomework.aspxthomeworkld-4902288868questionld 18flushed-fals 2018 Summer II MATH 1314.002 INT Su Lisa Quinta Homework: HW 8.2 Systems of Lin.Eqts:Matrices Score: 0 of 1 pt 5 of 9 (5 complete) 8.2.61 Solve the following system of equations using matrices (row operations) If the system has no solution, say that it is inconsistent Select the correct choice below and, if necessary, fill in the answer box(es) in your choice O A. The solution is OB. There are ininitely many solutions The solution can be written as (xy.z)lyzis any real number O C. There are infinitely many solutons The solution can be written as (xyz)jx y is any real number, z is any real number) O D. The system is inconsistent (Simplity your answers) Simplity your answers. Type expressions using z as the variable.) (Simplify your answer. Type an expression using y and z as the variables) Click to select and enter your answer(s) and then click Check Answer Clear All All parts showing

Explanation / Answer

Augmented matrix for given system of equations

solution using Gauss-Jordan elimination

Your matrix

Find the pivot in the 1st column in the 1st row

Eliminate the 1st column

Make the pivot in the 2nd column by dividing the 2nd row by -18

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by -23/6

Eliminate the 3rd column

Solution set:

x = 3

y = 1/3

z = 2

X1 X2 X3 b 1 1 3 -1 2 2 4 -6 1 12 3 -4 3 -4 -19

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