Matrix multiplication, MATLAB in Engineering

Matrix Multiplication:

The Matrix multiplication does not mean multiplying term by term; and it is not an array operation. The Matrix multiplication has a very particular meaning. First of all, in order to multiply a matrix A by a matrix B to answer in a matrix C, the number of columns of A should be similar to the number of rows of B. If the matrix A has dimensions m × n that means that matrix B should have dimensions n × something; and we'll call it p. We say that the inner dimensions should be similar. The resultant matrix C has similar number of rows as A and similar number of columns as B (in another words, the outer dimensions m × p). In mathematical notation, [A]m x n [B]n x p = [C]m x p. This only defines the size of C.

The elements of the matrix C are defined as the addition of products of corresponding elements in the rows of A and columns of B, or in another words

2022_Matrix Multiplication.png

In the example below, A is 2 × 3 and B is 3 × 4 therefore C will be 2 × 4. The elements in C are acquired by using the summation. The first row of C is obtained by using the first row of A and in succession the columns of B. For illustration, C(1,1) is 3 * 1 +  8 * 4  + 0 * 0 or 35. C(1,2) is 3 * 2  + 8 * 5  + 0 *2 or 46.

2365_Matrix Multiplication1.png

Posted Date: 10/22/2012 2:33:14 AM | Location : United States







Related Discussions:- Matrix multiplication, Assignment Help, Ask Question on Matrix multiplication, Get Answer, Expert's Help, Matrix multiplication Discussions

Write discussion on Matrix multiplication
Your posts are moderated
Related Questions
Print from the structure: To print from the structure, a disp function will show either the whole structure or a field. >> disp(package) item_no: 123 cost: 19.99

Illustration of Graphics properties: A particular property can also be exhibited, for illustration, to view the line width:     >> get(hl,'LineWidth')     ans =

Cross Product: The cross or outer product a × b of two vectors a and b is defined only whenever both a and b are the vectors in three-dimensional space, that means that they b

Illustration of Gauss elimination: For illustration, for a 2 × 2 system, an augmented matrix be: Then, the EROs is applied to obtain the augmented matrix into an upper

Algorithm for the function explaine: The algorithm for the function explaine is as shown:  Print a description of e, the exp function, and how to find the approximate va

analyzing traffic; determine motion of flow; calculate tracklets; detect abnormalities;

Function call: In the function call, not any arguments are passed so there are no input arguments in the function header. The function returns an output argument, therefore th

Sound Files: The sound signal is an illustration of a continuous signal which is sampled to result in a discrete signal. In this situation, sound waves traveling through the a

1. Write a MATLAB function (upperTriangle) using the functions you previously created to convert a matrix to upper triangular form. Start with row 1, column1. Find the row that has