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

Find the general solution to the system:

[tex]ax+ by= 0[/tex]

[tex]cx+ dy= 0[/tex]

Consider the case when

[tex]ad- bc\neq 0[/tex]

The attempt at a solution

I multiplied the first equation by "c" and the second equation by "a", and then I subtracted the two equations.

I got the following matrix:

[tex]0......ad-bc......0[/tex]

[tex]ac......ad......0[/tex]

Therefore, [tex]ad\neq bc[/tex]. I got the general solution to be [tex]cx+ dy= 0[/tex] from the second row of the matrix. Is it right?

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# Homework Help: General Solution Linear algebra

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