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Introduction to Matrix Algebra

Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra - 1 Introduction to Matrix AlgebraDefinitions:A Matrix is a collection of numbers ordered by rows and columns. It is customaryto enclose the elements of a Matrix in parentheses, brackets, or braces. For example, thefollowing is a Matrix :X = 582 107 .This Matrix has two rows and three columns, so it is referred to as a 2 by 3 Matrix . Theelements of a Matrix are numbered in the following way:X = x11x12x13x21x22x23 That is, the first subscript in a Matrix refers to the row and the second subscript refers tothe column.

A vector is a special type of matrix that has only one row (called a row vector) or one column (called a column vector). ... Matrix subtraction works in the same way, except that elements are subtracted instead of added. Matrix Multiplication: There are several rules for matrix …

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