Recent content by AlphaNoodle

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    Undergrad Why Are 3x3 Systems with Arithmetically Increasing Constants Always Infinite?

    I did not know there were column operations, still in high school haha. But a question I have is how do you represent column operations? in other words row operations are simply L1 -> L1+3 or something like that, but how are column operations represented?
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    Undergrad Why Are 3x3 Systems with Arithmetically Increasing Constants Always Infinite?

    I encountered a system: 3x+5y+7z = 9 7x+3y-z=-5 12x+13y+14z=15 And the solution was infinite solutions. However, when looking at each equation, the constants (including coefficients) increase/decrease by a constant amount. 3x+5y+7z = 9 (+2) 7x+3y-z=-5 (-4) 12x+13y+14z=15 (+1) And I made other...
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    Graduate What does the notation S_4(2) mean?

    I believe it means a sequence at a certain number, partial sum.