Gram-Schmidt Process

The Gram-Schmidt process is a method used in linear algebra to take a set of vectors and transform them into a new set of orthogonal vectors, which means they are at right angles to each other. This is useful for simplifying problems, especially in areas like computer graphics and statistics. The process works by adjusting each vector to eliminate any overlap with the previously processed vectors, ensuring that each new vector is unique in direction. Ultimately, this helps create a basis for a vector space, making calculations more straightforward and effective.