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6.3_bzca5e - Section 6.3 Matrix Operations and Their...

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Section 6.3 Matrix Operations and Their Applications
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Notations for Matrices
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Matrix Notation We can represent a matrix in two different ways. 1. A capital letter, such as A, B, or C, can denote a matrix. 2. A lowercase letter enclosed in brackets, such as that shown below can denote a matrix. A= . 32 11 12 13 21 22 23 A general element in matrix A is denoted by a This refers to the element in the i row and j column. is the element located in the 3rd row, 2nd column. See below. i j i j th th a a a a a a a a a 31 32 33 A matrix of order m n has m rows and n columns. If m=n, a matrix has the same number of rows as columns and is called a square matrix. a a ÷ ÷ ÷ ×
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Example 23 31 1 3 3 Let A= 4 5 3 3 2 4 . What is the order of A? b. If A= , identify a , and a i j a a - - - - - -
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Equality of Matrices
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Matrix Addition and Subtraction
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0 0 Zero matrix = 0 0 3 2 3 2 Additive Inverses: The inverse of is 1 5 1 5 3 2 3 2 0 0 1 5 1 5 0 0 If A ÷ - -
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