# 1.3 - MATH1850U/2050U: Chapter 1 cont. 1 LINEAR SYSTEMS...

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MATH1850U/2050U: Chapter 1 cont. .. 1 LINEAR SYSTEMS cont… Matrices and Matrix Operations (1.3; pg. 25) Recall: When we started the course, we introduced matrices. Now let’s better understand how to work with them. Definition: A matrix is a rectangular array of numbers. The numbers in the array are called the entries . Matrices will usually be denoted with capital letters. Definition: The size of a matrix is described in terms of the number of rows (horizontal) and columns (vertical) it has. An n m matrix has m rows and n columns. Examples: Find the size of the following matrices. Definition: A matrix with only one column is called a column vector (or column matrix), and a matrix with only one row is called a row vector (or row matrix). Notation: ij A ) ( and ij a will denote the entry of the matrix A that is in both the i th row and the j th column. Definition: A square matrix is a matrix that has the same number of rows as columns. The order of a square matrix is the number of rows and columns. The entries nn a a a , , , 22 11 form the main diagonal of the square matrix A . Definition: Two matrices are defined to be equal if they have the same size and all their corresponding entries are equal.

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## This note was uploaded on 10/12/2011 for the course MATH 1020 taught by Professor Paulatu during the Spring '11 term at UOIT.

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1.3 - MATH1850U/2050U: Chapter 1 cont. 1 LINEAR SYSTEMS...

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