Scalar multiplication of matrices matlab tutorial pdf

Tutorial on Matlab Basics EECS 639 August 31, 2016 f Matlab Basics • To start Matlab: Select MATLAB on the menu (if using Windows). Type "matlab" on the command line (if using Linux). f Getting Help and Looking Up Functions • To get help on a function type "help function_name", e.g., "help plot". Arithmetic Operators II • * used as >> C = A*B is the matrix multiplication of A and B (columns of A must equal rows of B) or one of them can be a scalar, • used as >> X=A B with A ∈ Rm×nand B ∈ Rm×s Solved Examples of Matrix Multiplication. Let us conclude the topic with some solved examples relating to the formula, properties and rules. Solved Example 1: Find the scalar product of 2 with the given matrix A = [ − 1 2 4 − 3]. Solution: The scalar product can be obtained as: 2. [ − 1 2 4 − 3] = [ − 2 4 8 − 6] There are many operators in MATLAB, which can be used in expressions. Some of the arithmetic operators include: + addition - negation, subtraction * multiplication / division (divided by) division (divided into e.g. 3 is 4) ^ exponentiation (e.g. 3^2 is 9) There is a hierarchy, or set of precedence rules, for the operators. Multiplication of Array of Matrices with Array Learn more about multiplication, cell arrays Distributive proper over the addition of matrices for Matrix multiplication of matrix A and matrix B with another matrix C is A (B + C) = AB + BC. Matrix multiplication with a Scalar k for matrices A and B, is defined as k (AB) = (kA)B = A (Bk). Transpose property of matrix multiplication for two matrices A and B can be given as, (AB) T = B T A T are also used for doing scalar arithmetic. Facts: 1. If A andB arematriceswith the samedimensions, then their sum anddifferencearecomputed using the commands: A +B and A −B. 2. If B and C are matrices and the multiplication BC is possible, then the product E = BC is computed using the command E = B ∗C 3. The kth power of a square matrix A PDF | Matlab Tutorial for Computational Biology Class | Find, read and cite all the research you need on ResearchGate Tutorial 1: Introduction to MATLAB Page 1 of 12 10/07/2003 Tutorial 1§: Introduction to MATLAB Daniela Raicu draicu@cs.depaul.edu School of Computer Science, Telecommunications, and Information Systems DePaul University, Chicago, IL 60604 The purpose of this tutorial is to present basics of MATLAB. We do not assume any prior knowledge of this A Matlab/Programming Tutorial Sometime in the late 1940's and early 1950's scientists were starting to realize that their jobs were very multiplication between vectors and matrices in Matlab follow the mathematical rules governing produts of matrices and vectors. If these rules are unfamiliar to you, you should brush up on them, as they are critical Multiplication of Array of Matrices with Array Learn more about multiplication, cell arrays Note: Whenever you multiply a row vector by a column vector, the result will be a scalar (= 1 x 1 matrix). In general, for row vector a and column vector b (where ka = nb), we get: 1 n i i i a b = a×b =∑ Knowing this result allows us to perform any multiplication of conformable vectors and matrices. Multiplication of Array of Matrices with Array Learn more about multiplication, cell arrays Note: Whenever you multiply a row vector by a column vector, the result will be a scalar (= 1 x 1 matrix). In g