Matrix Decomposition
Matrix decomposition refers to the process of breaking down a matrix into simpler, more easily manipulated parts. This technique is commonly used in linear algebra to analyze and solve systems of linear equations. By decomposing a matrix, it becomes easier to perform operations such as solving for unknown variables, calculating determinants, and finding inverses. Some common methods of matrix decomposition include LU decomposition, QR decomposition, and singular value decomposition. Each of these techniques has its own unique properties and applications in various fields such as engineering, physics, and computer science.