Linear Algebra for Computer Scientists. 12. Introducing the Matrix скачать в хорошем качестве

Linear Algebra for Computer Scientists. 12. Introducing the Matrix

This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order tensor. Matrices can be used to solve systems of linear equations and have wide ranging engineering and scientific applications. Matrices also have a multitude of applications in the field of computer science. For example, matrices and matrix operations are used in computer graphics, machine learning, cryptography and quantum computing. This video introduces some basic terminology relating to matrices and some fundamental matrix operations including matrix addition, matrix subtraction and matrix multiplication. Chapters: 00:00 Definition of a Matrix and a Tensor 02:32 Matrix Addition 03:34 Matrix Subtraction 03:58 Matrix Multiplication and The Dot Product 07:38 The Dot Product of a Matrix and a Vector 08:34 Matrix Applications