Question
Consider this Reduced-Row Echelon Form (RREF) of the augmented matrix of a system of linear
equations:
In the entry boxes provided below, enter the solutions for variables
and
in terms of
variables
and
(one digit per box), where you will need to determine the coefficients of
and
and any constant value. Please do not use any space or comma in the answers you
enter.
equations:
variables
enter.
Ask by Moran Stuart. in the United States
Jan 27,2025
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Bonus Knowledge
To express the solutions for variables
and
in terms of
and
, we can extract the information from the given RREF:
From the first row:
This can be rearranged to find
:
From the second row:
This can be rearranged to find
:
Now, we can fill in the boxes:
For
:
- Coefficient of
: 1 - Coefficient of
: 4 - Constant term: -14000
So for
:
Answer for :
141-14000
Answer for
141-14000
For
:
- Coefficient of
: -2 - Coefficient of
: -5 - Constant term: 200000
So for
:
Answer for :
-2-520000
Answer for
-2-520000