MATH 204 Study Guide - Final Guide: Magloire, Main Diagonal, Invertible Matrix

• School: Concordia University
• Department: Mathematics
• Course: MATH 204
• Professor: Magloire LOUDEGUI DJIMDOU

Document Summary

Assuming that the sizes of the matrices are compatible for the operations, then without scalar with scalars (1). A + b = b + a (2). A + (b + c) = a + (b + c) (3). Ab = and (ab)c = . Note: commutative law does not apply for matrix multiplication. Zero matrix it is a matrix whose entries are all zero. If c is a scalar and if the size is valid, then. A + 0 = 0 + a = a (2). A a = a + ( a) = 0 (4). 0a = 0 (5). ca = 0 c = 0 or a = 0. Note: with product of numbers, we can cancel non-zero numbers: ab = ac b = c if a 6= 0. This is not the case with matrix multiplication. Ad = 0 but a 6= 0 and d 6= 0.