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Class 10 > Learn UNIT II: Algebra > Why is there linear algebra but not nonlinear algebra?
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Why is there linear algebra but not nonlinear algebra?

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The term "nonlinear algebra" is not as well-defined as the term "linear algebra." This is because there is no single agreed-upon definition of what "nonlinear algebra" is. Some mathematicians use the term to refer to the study of all nonlinear systems and equations, while others use it to refer to a...
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The term "nonlinear algebra" is not as well-defined as the term "linear algebra." This is because there is no single agreed-upon definition of what "nonlinear algebra" is. Some mathematicians use the term to refer to the study of all nonlinear systems and equations, while others use it to refer to a more specific subset of nonlinear systems and equations. read less
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Algebraic geometry is, in one sense, a very natural generalization of linear algebra to nonlinear things. Algebraic geometry basically generalizes the “linear” part of linear algebra to “polynomial,” so that we are studying systems of polynomial equations rather than linear eq...
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Algebraic geometry is, in one sense, a very natural generalization of linear algebra to nonlinear things. Algebraic geometry basically generalizes the “linear” part of linear algebra to “polynomial,” so that we are studying systems of polynomial equations rather than linear equations. read less
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Chemistry Tutor with 4 years of experience

Algebraic geometry is, in one sense, a very natural generalization of linear algebra to nonlinear things. Algebraic geometry basically generalizes the “linear” part of linear algebra to “polynomial,” so that we are studying systems of polynomial equations rather than linear eq...
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Algebraic geometry is, in one sense, a very natural generalization of linear algebra to nonlinear things. Algebraic geometry basically generalizes the “linear” part of linear algebra to “polynomial,” so that we are studying systems of polynomial equations rather than linear equations. read less
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Linear equation forms a straight line whereas non linear equation forms a curve.
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Linear algebra is a small part of algebra, and the rest of algebra is mostly nonlinear. There is no need to emphasize that by calling it “nonlinear algebra”.
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If the degree of the term is one it is called a Linear equation and if the degree of the term is two or more than two then it is called nonlinear equation. This means you can only raise a variable in the equation to the power of 1 for a linear equation. A linear equation gives a straight graph whereas...
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If the degree of the term is one it is called a Linear equation and if the degree of the term is two or more than two then it is called nonlinear equation. This means you can only raise a variable in the equation to the power of 1 for a linear equation. A linear equation gives a straight graph whereas a nonlinear gives a कर्व graph. read less
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Non-linear algebra is there, it is just called algebra. The most famous examples these days are machine learning algorithms.associating linearity simplifies the analysis by far. So we study this line of algebra separately.
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