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

Algebra ->  Matrices-and-determiminant -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!

x%5B1%5D+-+3x%5B2%5D+-+2x%5B3%5D+%2B+x4%09=+-2
-2x%5B1%5D+%2B+7x%5B2%5D+%2B+x%5B3%5D+-+2x%5B4%5D%09=+-3
3x%5B1%5D+-+7x%5B2%5D+-+3x%5B3%5D+%2B+3x%5B4%5D%09=+-2
5x%5B1+%5D%2B+x%5B2+%5D%2B+4x%5B3%5D+-2x%5B4%5D%09=+16


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 9:




Eliminate the 3rd column




Make the pivot in the 4th column by dividing the 4th row by -7:




Eliminate the 4th column:




Solution set:
x%5B1%5D+=+1
x%5B2+%5D=+-1
x%5B3%5D+=+2
x%5B4%5D+=+-2