Mathematics 1229A/B Lecture Notes - Elementary Matrix, Augmented Matrix, Matrix Equivalence

• School: Western University
• Department: Mathematics
• Course: Mathematics 1229A/B
• Professor: Prof

Document Summary

Row reduction (text reference: section 2. 3) c(cid:13)v. olds 2010. Next, we learn a method known as row-reduction for solving sle"s. First, we must de ne what this mathematical structure called a matrix is. De nition: a matrix is a rectangular array of numbers: a11 a21 a12 a22 a13 a23 am1 am2 am3 a1n a2n amn. The horizontal lines of numbers are called rows and the vertical lines of numbers are called columns. The number, aij, in row i and column j is called the (i,j)-entry of the matrix. A matrix with m rows and n columns is called an m n matrix (pronounced. Also note: matrices are sometimes written using parentheses (i. e. round brackets) instead of the square brackets shown here. But in this course, we"ll use square brackets. We will learn more about these things called matrices later in the course.