# application of matrices

\end{array}\right]=\left[\begin{array}{c} This Project examines matrices and three of its applications. known only to the sender and the receiver. 3. Is the Coronavirus Crisis Increasing America's Drug Overdoses? Alan Turing, a computer scientist pioneer in the field of artificial intelligence, invented a machine that was able to decrypt messages encrypted by the German Enigma machine, helping to turn the tide of World War II. \end{array}\right] \quad \bf{(I)} \nonumber\], Now to encode, we multiply, on the left, each matrix of our message by the matrix \(A\). the matrix. 27 \\ Individual items in a matrix are known as elements or entries. 20 They are used to project three dimensional images into two dimensional planes in the field of graphics. 39,918 people found this useful, TAX ADMINISTRATION IN NIGERIA: CHALLENGES AND PROSPECTS, A CASE STUDY OF LAGOS STATE BOARD OF INTERN... Convert these column matrices into a new set of column matrices by multiplying them with a compatible square matrix of your choice that has an inverse. Since the key is taken as the operation of post-multiplication by \end{array}\right]\). 1 & 3 Also of square matrix (under which we consider cofactors and adjoint) and the different properties of determinant; inverse of square matrix, product of a square matrix and it’s inverse and also special types of square matrix and the different applications of matrices. \end{array}\right]=\left[\begin{array}{l} Three points suppose A(a,b) , B(c,d) , C(e,f) are collinear if they do not form a triangle, that is the area of the triangle should be equal to zero. We first determine inverse of \(B\). This new set of numbers or matrices represents the coded message. Application of matrices in mathematics applies to many branches of science, also as different mathematical disciplines. Sensor array signal processing focuses on signal enumeration and source location applications and presents a huge importance in many domains such as radar signals and underwater surveillance. \mathrm{I} \\ Using matrices to manipulate a point is a common mathematical approach in video game graphics Matrices are also used to express graphs. 2 & 1 & 1 \end{array}\right]\left[\begin{array}{c} \end{array}\right]\left[\begin{array}{l} \[\mathrm{B}^{-1}=\left[\begin{array}{ccc} His method is now known as the method of Lagrange multipliers. Engineering Mathematics is applied in our daily life. 3 \\ The 14 \\ Required fields are marked *. Let’s suppose that we have a triangle ABC with vertices A(a,b) , B(c,d) , C(e,f), Area of triangle ABC can be given by the determinant= \[\frac{1}{2} \begin{bmatrix} a & b & 1\\ c & d & 1 \\ e & f & 1\end {bmatrix}\]. Both the matrices A and B have the same number of rows and columns (that is the number of rows is 2 and the number of columns is 3), so they can be added. \mathrm{O} \mathrm{T} 3 \\ 22 \\ These days, the Hill Algorithm is not considered a secure encryption method; it is relatively easy to break with modern technology. \mathrm{E} \\ converted into a sequence of row matrices of numbers: Note that, we have included two zeros in the last row matrix. 11 \\ an example. Encryption and decryption require a secret technique which is Fact Check: What Power Does the President Really Have Over State Governors? \end{array}\right]\left[\begin{array}{c} There was renewed interests in matrices, particularly on the numerical analysis of matrices, John Von Neumann and Herman Goldstein introduced condition numbers in analyzing round – off errors in 1947. 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Use matrix \(A=\left[\begin{array}{ll} 41 \\ 14 Pro Lite, Vedantu Historical accounts indicate that the Chinese, Egyptians, Indian, and Greek encrypted messages in some way for various purposes. The matrix used for encryption is called encryption matrix (encoding matrix) and that used for (decrypts) the message to retrieve the original message by using the inverse of \mathrm{T} \\ are used in computer generated images that have a reflection and distortion effect such as high passing through ripping water.

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