Question: Write the system of linear equations represented by the augmented matrix to the right use W, X, Y and Z for the variables :
Solution:
An augmented matrix is equivalent to a system of linear equations. In this case, the given matrix is represented by the following system of linear equations:
-1 w - 3x +5y +2z = 13
0w + 1x + 3y + 0z = 10
0w + 0x +y - 1z = 3
1w - 3x + 0y + 0z = -2
this is equivalent to:
w - 3x +5y +2z = 13
x + 3y = 10
y - z = 3
1w - 3x = -2
So that, the correct answer is:
w - 3x +5y +2z = 13
x + 3y = 10
y - z = 3
1w - 3x = -2
