(A + B) E M mx n A+B=B+ A A+ (B+C) = (A + B) + C A+O=A

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 23E
Question

Linear Algebra
Demonstrate each of the properties:

(A + B) E M
A + B = B + A
A+ (B+C) = (A + B) + C
A + 0 = A
A + (-A) = O
rA E M
m X n
m X n
(r + s)A = rA + SA
r(A + B) = rA + rB S-
r(SA) = (rs)A 0
5²
1A = A
Transcribed Image Text:(A + B) E M A + B = B + A A+ (B+C) = (A + B) + C A + 0 = A A + (-A) = O rA E M m X n m X n (r + s)A = rA + SA r(A + B) = rA + rB S- r(SA) = (rs)A 0 5² 1A = A
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