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## How do you know if something is linear or nonlinear?

Using a Graph

Determine whether the line is straight or curved. If the line is straight, **the equation is linear**. If it is curved, it is a nonlinear equation.

## What defines a linear transformation?

A linear transformation is **a function from one vector space to another that respects the underlying (linear) structure of each vector space**. A linear transformation is also known as a linear operator or map. … The two vector spaces must have the same underlying field.

## What are examples of nonlinear equations?

An equation in which the maximum degree of a term is 2 or more than two is called nonlinear equations. For example **3×2 + 2x + 1 = 0, 3x + 4y = 5**, this are the example of nonlinear equations, because equation 1 have highest degree of 2 and second equation have variable x and y.

## What is nonlinear transformation?

Nonlinear tranformation. A nonlinear transformation **changes (increases or decreases) linear relationships between variables and, thus, changes the correlation between variables**. Examples of nonlinear transformation of variable x would be taking the square root x or the reciprocal of x.