SOLUTION: Subscript notation is frequently used for working with larger systems of equations. Use a matrix approach to solve the system. Express the solutions as 4-tuples of the form (x1,

Algebra ->  Equations -> SOLUTION: Subscript notation is frequently used for working with larger systems of equations. Use a matrix approach to solve the system. Express the solutions as 4-tuples of the form (x1,       Log On


   

Question 1114851: Subscript notation is frequently used for working with larger systems of equations. Use a matrix approach to solve the system. Express the solutions as 4-tuples of the form
(x1, x2, x3, x4).

x1 + 3x2 − x3 + 2x4 = −15
2x1 + 7x2 + 2x3 − x4 = 27
−3x1 − 8x2 + 3x3 + x4 = −10
4x1 + 11x2 − 2x3 − 3x4 = 35

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Your matrix:


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




Eliminate the 1st column:



Find the pivot in the 2nd column in the 2nd row:



Eliminate the 2nd column:



Make the pivot in the 3rd column by dividing the 3rd row by -4:


Eliminate the 3rd column:



Make the pivot in the 4th column by dividing the 4th row by 8:


Eliminate the 4th column:




Solution set:
(113,+-35, 19, -2)