PLS HELP NEED DESPERATELY ALL WORK SHOWN PLS
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If the coefficient matrix has a pivot in each column, it means that it is shaped like this:
So, the correspondant system
will look like this:
This turn into the following system of equations:
The last equation is solvable for : we easily have
Once the value for is known, we can solve the third equation for
:
(recall that is now known)
The pattern should be clear: you can use the last equation to solve for . Once it is known, the third equation involves the only variable
. Once