(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find all solutions of the system Ax=0

where A = the 3x3 matrix

[1 3 2]

[2 6 9]

[2 8 8]

2. Relevant equations

not really sure what equations to include

3. The attempt at a solution

wasnt positive how to go about answering this question because im not sure what its asking for...

i turned "x" into a 3x1 matrix consisting of x_{1}, x_{2}and x_{3}and tried to solve the system of equations...

1x_{1}+ 3x_{2}+ 2x_{3}= 0

2x_{1}+ 6x_{2}+ 9x_{3}= 0

2x_{1}+ 8x_{2}+ 9x_{3}= 0

after trying to solve this as a linear system of equations problem, i ended getting that each value (x_{1}, x_{2}, x_{3}) was equal to 0... is this anywhere close to a correct approach to this problem? Thanks for any help you have to offer

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# Homework Help: Finding System Solutions of the system Ax=0; A being a matrix

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