Uses Of Matrices In Computer Science

A tensor is a generalized n dimensional matrix.

Uses of matrices in computer science.

They allow computers to in effect do a lot of the computational heavy lifting in advance. The use of matrices in computer graphics is widespread. Matrices used in computer graphics every one of us uses matrices nearly everyday in our lives and probably unaware of it. Creating a matrix that yields useful computational results may be difficult but performing matrix multiplication generally isn t.

Cryptography is also implemented using matrices. Matrix mathematics applies to several branches of science as well as different mathematical disciplines. For an rgb image a 3rd ordered tensor is used. In reality instead of using 3 matrices to represent an image a tensor is used.

Scholastic matrices are used by page rank algorithms. Matrices are used to solve problems involving kirchoff s laws of voltage and current. Matrices are commonly used in computers for their 3d graphics. But that points to one of the reasons that matrices are so common in computer science.

We see the results of matrix mathematics in every computer generated image that has a reflection or distortion effects such as light passing through. Imagine it as three 2d matrices stacked one behind another. Most of the matrices that are used are either 3x3 or 4x4 matrices and are computed by either rotation matrices or translation matrices. Provided that they have the same size each matrix has the same number of rows and the same.

In physics matrices are applied in optics quantum mechanics and electrical circuits. Computer science also relies heavily on matrices. For example the dimension of the matrix below is 2 3 read two by three because there are two rows and three columns. The discipline of physics also uses matrices to calculate battery power outputs and resistor conversion of electrical energy into a more efficient form.

Many industries like architecture cartoon automotive that were formerly done by hand drawing now are done routinely with the aid of computer graphics. Let s start with computer graphics then touch on science and return to mathematics. In order to guide the students to know the application of matrix in the computer science and technology to stimulate interest in learning. Video gaming industry maybe the earliest industry to rely heavily on computer graphics is now representing rendered polygon in 3.

In mathematics a matrix plural matrices is a rectangular array or table see irregular matrix of numbers symbols or expressions arranged in rows and columns.