SOLUTION: Use a matrix approach to solve the system. Express the solutions as 4-tuples of the form (x1, x2, x3, x4) X1-3X2-2X3+X4=-2 -2X1+7X2+X3-2X4=-3 3X1-7X2-3X3+3X4=-2 5X1+X2+4X3-2

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Question 1140460: Use a matrix approach to solve the system. Express the solutions as 4-tuples of the form
(x1, x2, x3, x4)
X1-3X2-2X3+X4=-2
-2X1+7X2+X3-2X4=-3
3X1-7X2-3X3+3X4=-2
5X1+X2+4X3-2X4=16

Answer by MathLover1(20850)   (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 :




Eliminate the 3rd column




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




Eliminate the 4th column:




Solution set:





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