2X1+2X3-x3+x5=6,-X1-x2+2X3-3X4+X5=0,X3+X4+X5=0,X3+X5+X5=0 SOLVE IT BY USING GUASS JORDON METHOD
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Expert's answer
2022-06-14T12:12:11-0400
As far as we have 4 equations and 5 variables the system has an infinite number of solutions. But let's find one of them.
Let's create an coefficient's matrix:
⎝⎛2−1000−1001211031011126000⎠⎞
after that according to an Gauss algorithm, we need to made an 1 in upper left corner, let's make it by adding second row to the first one (than I'll write it as I = I + II, witch means, that the first row is the sum of first and second etc)
We'll get next matrix:
⎝⎛1−100−1−1003211331021126000⎠⎞
Then we need to have 0's in first column. II = II + I
⎝⎛1000−1−2003511361023126600⎠⎞
Then to have 1 in second column and second row let's make next transformations:
II = II + III
⎝⎛1000−1−2003611371024126600⎠⎞
II = II / (-2)
⎝⎛1000−11003−3113−3.5102−2126−300⎠⎞
To make a 0 in a first row second column we'll make I = I + II
The expert did excellent work as usual and was extremely helpful for me.
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