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TOPIC 1MATRIXLEARNING OUTCOMESBy the end of this topic, you should be able to:1.Explain the concept of matrix and the classification of matrices;2.Define matrix addition, scalar multiplication and multiplication of matrices and theproperties related to these operations;3.Calculate the determinant for square matrix using the cross multiplication method and thecofactor expansion method;4.Determine the inverse of an invertible matrix and use inverses to solve the linear equationsystem; and5.Apply Cramer's rule to find the solution of a two-linear equation system.INTRODUCTIONData is an important source of information. Therefore, it is necessary for the data to be arrangedin the most comprehensible and straightforward form. Matrix is one method which is frequentlyused. In economics, matrix is used in formulating problems and displaying data. For example, amanufacturer who produces products D, E and F could represent the units of labour and materialinvolved in one week’s production of these items as shown in the table below:ProductDEFLabour101216Material597
Matrix is a rectangular array of numbers consisting ofmhorizontal rows andnvertical columns,This matrix is called anm×n(read as “m by n”) matrix or a matrix of ordermFor any matrices, the data has to be placed in a rectangular table form, as shown below:The above matrix consists of two rows and three columns. Hence, the dimension, order, size ordegree of the above matrix is 2 × 3. The dimension of a matrix is the number of rows first,followed by the number of columns. The elements or entries of the above matrix in the first roware 2, 0 and 1. While, the elements for the second rows are 0, −1 and 3.Generally, a matrix is denoted by a capital letter. On the other hand, every element of the matrixwill be denoted by smaller capitals with subscripts as shown below:Based on the matrixAabove, we can conclude thatAis a matrix with the dimension of 3 × 3,where its elements or entries:×n..

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Term
Spring
Professor
N/A
Tags
Linear Algebra, Cramer, concept of matrix

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