Solve the following system of equations using matrices (row operations). If the

Question

Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent x+y+ z-1 x+5y-19z-9 A. The solution is Simplity your answers.) B. There are rfntely many solutions. The solution can be witten as (??.z) x-E z is any real number) y. Simplity your answers. Type expressions using z as the variable.) There are ntntely many solutions. The solution can be written as f x y.zix. , y is any real number, z s any real number) O c. Click to select and enter your answer(s) and then click Check Answer

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 (inversing the sign in the whole row)

Eliminate the 1st column

Find the pivot in the 2nd column and swap the 3rd and the 2nd rows

Eliminate the 2nd column

Solution set:

x = -1 + 6z

y = -2 + 5z

z - free

(B) there are infinitely many solution, the solution can be written as

(x,y,z) = (x = -1+6z, y = -2+5z, z real number)

X1 X2 X3 b 1 -1 1 1 -1 2 -1 5 -19 -9 3 2 -1 -7 0

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.