Prove the following properties of matrix addition and scalar multiplication, where A, B, and C are all m × n matrices and r and s are scalars: 9. a. A+ (B+ C) = (A + B) + C b. (r+ s)A = rA + sA

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 41CR: Consider the matrices below. X=[1201],Y=[1032],Z=[3412],W=[3241] Find scalars a,b, and c such that...
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3.4 #9

Please answer a and b

 

 

9.
Prove the following properties of matrix addition and scalar multiplication, where A, B,
and C are all m x n matrices and r and s are scalars:
a. A+ (B + C) = (A+B) + C
b. (r+s)A = rA + sA
Transcribed Image Text:9. Prove the following properties of matrix addition and scalar multiplication, where A, B, and C are all m x n matrices and r and s are scalars: a. A+ (B + C) = (A+B) + C b. (r+s)A = rA + sA
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