lecture_2 - MA 35100 LECTURE NOTES: WEDNESDAY, JANUARY 13...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

This note was uploaded on 10/18/2010 for the course MATH 351 taught by Professor Egoins during the Spring '10 term at Purdue University-West Lafayette.

Page1 / 3

lecture_2 - MA 35100 LECTURE NOTES: WEDNESDAY, JANUARY 13...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online