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In this section, you will learn how to define matrices with Mathematica as well as some other manipulation tools. So a matrix is next generalization of a vector. All numerical algorithms for solving differential equations are based on utilization of solution to the algebraic matrix problems.Įvery matrix can be considered as an array or vector with entries being again arrays. A wide range of applications includes the numerical solution of a set of linear algebraic equations. Indeed, a laptop or smartphone monitor is the most common example of a matrix filled with pixels. Understanding matrices is crucial for almost all applications, especially for computer modeling. This section presents basic definitions and operations with vectors, including dot product, inner product, and vector product. The topics to be covered in this chapter: 1.1: How to define vectors MF = MatrixFunction (* required matrix function *) Introduction to Linear Algebra with Mathematica Glossaryī = (* define matrix *)į = Sin*t]/Sqrt (* define function *) Return to the main page for the second course APMA0340 Return to the main page for the first course APMA0330 Return to Mathematica tutorial for the second course APMA0340 Return to Mathematica tutorial for the first course APMA0330 Return to computing page for the second course APMA0340 Return to computing page for the first course APMA0330