Topic one notes

BUSINESS MATHEMATICS 2TOPIC ONE: INTRODUCTION TO MATRICES MatrixDefinitionMatrix is a rectangular array of items or numbers. These items or numbers are arranged in rowsand columns to represent some information.A matrix is a rectangular array of numbers arranged in rows and columns. The array of numbersbelow is an example of a matrix.21 62 33 9344 95 66 1377 38 79 33The number of rows and columns that a matrix has is called its dimension or its order. Byconvention, rows are listed first; and columns, second. Thus, we would say that the dimension(or order) of the above matrix is 3 x 4, meaning that it has 3 rows and 4 columns.Numbers that appear in the rows and columns of a matrix are called elements of the matrix. Inthe above matrix, the element in the first column of the first row is 21; the element in the secondcolumn of the first row is 62; and so on.The position of an element in one matrix is very important as well be seen later; therefore anelement is located by the number of the row and column which is occupies. The size of a matrix isdefined by the number of its rows (m) and column (n).a b ca bcdFor example =and B = dghefiare (2 x 2) and (3 x 3) matrices since A has 2 rows and 2 columns and B has 3 rows and 3 columns.A matrix A with three rows and four columns is given by one of_a11A= aa12a13a22a23 a24a31 a32a33 a34iji = 1, 2, 321a14orA=aBUSINESS MATHEMATICS 2j = 1, 2, 3, 4Properties of matricesEqual Ma … Purchase document to see full attachment