MATH 1104 Lecture Notes - Lecture 2: Invertible Matrix, Alaca, Elementary Matrix

• School: Carleton University
• Department: Mathematics
• Course: MATH 1104
• Professor: Ayse Alaca

Document Summary

Lecture notes c(cid:13)prepared by ay se and s aban alaca. These notes replace neither the textbook nor the lectures. An m n matrix a is a rectangular array of numbers with m rows and n columns. We denote an m n matrix a as. The entry aij is called the (i, j)-entry of a. = (aij ) 1 i m. If m = n, then a is called a square matrix of order n, and the entries a11, a22,, ann form the main diagonal of a. The identity matrix in of size n n is a matrix such that all the main diagonal entries are 1, and all other entries are 0. 0 0 1 are the identity matrices of sizes 2 2 and 3 3, respectively. An m n matrix whose entries are all zero is a zero matrix. Let am n = (aij) and br s = (bij).