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Unformatted text preview: rst row to the last row Now add the negative of the second row to the third row to obtain ________________________________________________________________________
page 353 —————————————————————————— CHAPTER 7. —— We end up with an equivalent linear system Hence the unique solution of the given system of equations is
7. Write the given vectors as columns of the matrix
It is evident that
. Hence the vectors are linearly dependent. In order to find
a linear relationship between them, write x
0 The latter
equation is equivalent to
Performing elementary row operations, We obtain the system of equations Setting , it follows that and
x x Hence
x 0 9. The matrix containing the given vectors as columns is X ________________________________________________________________________
page 354 —————————————————————————— CHAPTER 7. ——
We find that X . Hence the given vectors are linearly indepen...
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This note was uploaded on 03/11/2014 for the course MA 303 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.
- Spring '08