I know how to row reduce the matrix, I have them reduced. But after that I get c
ID: 3169193 • Letter: I
Question
I know how to row reduce the matrix, I have them reduced. But after that I get consufused. Please help me get these two questions. Will rate answer!! Solve the following system of equations. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution, enter NONE.) 3x 2y+ z--5 2x-3y + 5z =-5 (x, y, z) O 0/1.25 points | Previous Answers 2/6 Submissions Used Solve the following system of equations. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution,renter NONE.) 2x + y-2z = (x, y, z) =Explanation / Answer
(a) Augmented matrix for given system of equations
Solution using Gauss-Jordan elimination
Your matrix
Find the pivot in the 1st column and swap the 2nd and the 1st rows
Eliminate the 1st column
Make the pivot in the 2nd column by dividing the 2nd row by -11
Eliminate the 2nd column
Make the pivot in the 3rd column by dividing the 3rd row by 26/11
Eliminate the 3rd column
Solution set:
x = -1
y = 1
z = 0
(b)
(a) Augmented matrix for given system of equations
Solution using Gauss-Jordan elimination
Your matrix
Find the pivot in the 1st column and swap the 3rd and the 1st rows
Eliminate the 1st column
Make the pivot in the 2nd column by dividing the 2nd row by -7
Eliminate the 2nd column
Solution set:
x = 3
y = -5 + 2t
z = t , t -free
(x,y,z) = (3, -5+2t , t) (answer)
X1 X2 X3 b 1 3 -2 1 -5 2 1 3 -4 2 3 2 -3 5 -5 4 1 -8 9 -9