Use the matrix transformation method to solve this system. x - 2y - 3z = -1 2x + y + z = 6 x + 3y - 2z = 13

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We will rewrite the equations as a matrix.

 

==> 1     -2      -3   :   -1

        2      1       1    :  6

        1       3      -2   :    13

 

Now we need to transform the matrix into the form:

1   0   0   :  a

0   1   0   : b

0    0   1 : C

Such that (a, b, c) is the solution to the system.

We will use the elimination method to solve.

First we will multiply R1 by 2 and subtract from R2

==>  1    -2    -3    : -1

         0     -5    -7   :  -8

         ...

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