This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Linear Equations and Matrices MAT188H1F Lec03 Burbulla Chapter 1 Lecture Notes Fall 2007 Chapter 1 Lecture Notes MAT188H1F Lec03 Burbulla Linear Equations and Matrices Linear Equations and Matrices Matrices Chapter 1 Lecture Notes MAT188H1F Lec03 Burbulla Linear Equations and Matrices Matrices What is a Matrix? A matrix is a rectangular array of numbers, enclosed in brackets. For example, 3 5 2 1 6 is a matrix. So is 6 4 2 2 8 2 4 6 4 The brackets used for a matrix are usually square [ ··· ] as in Nicholson’s book, or round ( ··· ) . But never use straight lines: ··· . In this course, the entries of a matrix will always be real numbers, but they could be complex numbers. Chapter 1 Lecture Notes MAT188H1F Lec03 Burbulla Linear Equations and Matrices Matrices Matrix Notation Matrices are usually denoted by capital letters. For instance, we could write A = 3 5 2 1 6 or B = 6 4 2 2 8 2 4 6 4 . As we shall see, certain letters are reserved for certain matrices. For instance, O will always denote a zero matrix, and I will always denote an identity matrix. Chapter 1 Lecture Notes MAT188H1F Lec03 Burbulla Linear Equations and Matrices Matrices The Size of a Matrix A matrix is said to be m × n if it has m rows, and n columns. For example, A = 3 5 2 1 6 is a 2 × 3 matrix, and B = 6 4 2 2 8 2 4 6 4 is a 3 × 3 matrix. The number of entries in an m × n matrix is mn ; so A has 6 entries, and B has 9 entries. Chapter 1 Lecture Notes MAT188H1F Lec03 Burbulla Linear Equations and Matrices Matrices Column Matrices and Row Matrices An m × 1 matrix is called a column matrix, or a column vector....
View
Full
Document
This note was uploaded on 06/22/2008 for the course ENGINEERIN MAT188 taught by Professor Burbula during the Fall '07 term at University of Toronto Toronto.
 Fall '07
 Burbula

Click to edit the document details