lineáristranszformációja
Lineáris transzformáció, often referred to as a linear map or linear function, is a fundamental concept in linear algebra. It is a function between two vector spaces that preserves the operations of vector addition and scalar multiplication. This means that for any vectors u and v in the first vector space and any scalar c, the following two properties must hold: f(u + v) = f(u) + f(v) and f(c*u) = c*f(u). These properties are crucial because they ensure that the structure of the vector spaces is maintained under the transformation.
Linear transformations can be represented by matrices. If we consider a linear transformation from a vector
Examples of linear transformations include rotations, reflections, scaling, and shearing in geometric spaces. In physics and