Matrix Decomposition: Getting Started with Matrix Decomposition

Matrix decomposition refers to the process of expressing a matrix as the product of other matrices. These factorized matrices are a lot easier to work with than the original matrix as they usually possess specific properties desirable in the contexts of various mathematical procedures. Use this course to learn how to use matrix decomposition. Explore precisely what matrices and vectors are and how theyre used. Then study various matrix operations such as computing the transpose and the inverse of a matrix. Moving on identify why matrices are great for expressing linear transformations of points in a coordinate space. Work with important transformations such as shearing reflection and rotation. Implement the LU QR and Cholesky decompositions and examine their applicability and restrictions. Upon completion youll know when and how to implement various matrix decompositions.