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Unformatted text preview: MA 35100 LECTURE NOTES: WEDNESDAY, JANUARY 13 Matrices Lets say that we have the following collection of equations: 3 x + 21 y 3 z = 6 x 2 y z = 62 2 x 3 y + 8 z = 32 The Chinese created shorthand notation for such a system of equations. They placed them in a rectangular array, called Fang Cheng , as follows: 3 21 3 6 2 1 62 2 3 8 32 Nowadays we place the numbers in an array called a matrix : 3 21 3 6 2 1 62 2 3 8 32  {z } four columns three rows This particular matrix has three rows and four columns, so it is called a 3 4 matrix (read three by four matrix.) In general, say that we have a collection of equations: a 11 x + a 12 y + a 13 z = a 14 a 21 x + a 22 y + a 23 z = a 24 a 31 x + a 32 y + a 33 z = a 34 The numbers a 11 , a 12 , ...are called the coefficients , and we may place them in a 3 4 matrix as follows: A = a 11 a 12 a 13 a 14 a 21 a 22 a 23 a 24 a 31 a 32 a 33 a 34 . The entries of the matrix are denoted by a ij , where the first subscript i denotes the row and the second subscript j denotes the column. The entrydenotes the column....
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This note was uploaded on 10/18/2010 for the course MATH 351 taught by Professor Egoins during the Spring '10 term at Purdue UniversityWest Lafayette.
 Spring '10
 EGoins
 Linear Algebra, Algebra, Equations, Matrices

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