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Math Help - How do you determine if a system is linear or nonlinear?

  1. #1
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    How do you determine if a system is linear or nonlinear?

    \binom{x'}{y'}=\binom{x^2+2y-8}{4x-2y+3}

    What defines a linear system and a nonlinear system? What should I look for?
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    Re: How do you determine if a system is linear or nonlinear?

    the squared term in the top coordinate is a dead give-away.
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    Re: How do you determine if a system is linear or nonlinear?

    Quote Originally Posted by Deveno View Post
    the squared term in the top coordinate is a dead give-away.
    Does that make it linear? My book doesn't define what a linear and nonlinear system is so I'm struggling to find the differences.
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    Re: How do you determine if a system is linear or nonlinear?

    That squared term makes it non linear. Linear... like a line y= mx + b.
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    Re: How do you determine if a system is linear or nonlinear?

    Quote Originally Posted by Scopur View Post
    That squared term makes it non linear. Linear... like a line y= mx + b.
    Is that it? Is it just a reference to the graph that comes out from the equations?
    Well that's easy. I can't believe I didn't get that, I thought there was more to it lol, thanks
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