Linear Algebra and Quadratic Equations

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I'm just wondering if Linear Algebra is concerned only with Linear equations? Can quadratic equations(or any higher power) also be considered under Linear Algebra? What does the term Linear stand for?

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Linear algebra very much included Quadratic equations. in fact. Polynomial equations of any degree. For example $ax^2+bx+c=0$ may be written as product of a row vector $(a, b, c)$ with a column vector $(x^2,x,1)^\top$.