Write the augmented matrix for the system of linear equations: {(2y-z=7),(x+2y+z=17),(2x-3y+2z=-1):}

Wierzycaz

Wierzycaz

Answered question

2020-12-28

Write the augmented matrix for the system of linear equations:
{2yz=7x+2y+z=172x3y+2z=1

Answer & Explanation

Maciej Morrow

Maciej Morrow

Skilled2020-12-29Added 98 answers

Step 1:We have to write the augmented matrix for the given system of linear equations. 
The coefficients and the constant on the other side of the equal sign are represented in each row of an augmented matrix for the system of equations, which is a matrix of numbers.
and each column represents all the coefficients for a single variable 
Given system of linear equation is, 
2y−z = 7 
x+2y+z=17 
2x−3y+2z=−1 
Step 2: 
Steps to write augmented matrix, 
Step 1) Write the coefficients of the x-terms as the numbers down the first column. 
Step 2) Write the coefficients of the y-terms as the numbers down the second column. 
Step 3) Write the coefficients of the z-terms as the numbers down the third column. 
Step 4) Draw a vertical line and write the constants to the right of the line. 
Therefore we get, 
[0217121172321] 
This is the augmented matrix for given system of linear equations.

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