In mathematics, the pre-image is defined as the initial state that a function alters to generate an image. The process of discovering the pre-image requires you to solve the function in reverse, essentially identifying the input that would produce a specific output. This principle is extensively applied in fields such as geometry, algebra, and calculus.
| Topic | Problem | Solution |
|---|---|---|
| None | Let the linear transformation \(T: \mathbb{R}^3 \… | To find the pre-image of a vector under a linear transformation, we set the image equal to the tran… |