Linear Transformations
Linear transformation is a mathematical function that maps a vector space into another vector space while preserving the linear structure of the space. In other words, it is a function that takes in a vector and returns another vector, where the output vector is a linear combination of the input vector. Linear transformations are widely used in data science and artificial intelligence for tasks such as dimensionality reduction, feature extraction, and image processing. They are also used in machine learning algorithms such as linear regression and support vector machines.
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