machine learning application apply inner product space Inner product spaces are used in a variety of machine learning applications, such as classification and clustering. They are also used to calculate the similarity between two vectors, which can be used in recommendation systems and information retrieval. Additionally, inner product spaces can be used to solve systems of linear equations, which can be used to solve optimization problems in machine learning..

advance linear algebra book There are a number of advanced linear algebra books available. Some of the most popular books include Linear Algebra and Its Applications by David C. Lay, Linear Algebra: A Modern Introduction by David Poole, Linear Algebra Done Right by Sheldon Axler, and Linear Algebra: A First Course by Larry Smith. These books provide a comprehensive introduction to linear algebra and its applications, and they are suitable for both undergraduate and graduate level courses.