MATH221 April 2010
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Question 01 (h)
Then the matrix U is an echelon form for A (you may assume this, you don't have to do the row reduction again.)
Find all solutions to the system of equations
(Hint: What is the augmented matrix for this system?)
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1.) Transform the system of equations into an augmented matrix. x,y,z,&w all represent one column each and the number of system of equations represent the rows of the matrix. The answers to each equation will be on the right-most of the matrix.
3.) Let’s reduce it to row echelon form by following these steps: 1. = -2 + 2. = -1 + 3. = -1 + 4. = -2 + 5. = -1 + 6. = -3 + 7. = 2 + 8. = -2 +
and we will end up with
The right most values in column 5 are the answers.
4.) Therefore, the system of equations correspond to:
= + 24 = -2 - 8 = = 2
All solutions are represented by: =
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MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Linear systems, Pages using DynamicPageList parser function, Pages using DynamicPageList parser tag