Matrices A, B, C, and O all have dimensions m x n. All elements of matrix O are equal to zero. Identify the correct matrix addition property for each row of the table below. Select Option A or Option B. Option A Option B Row 1 Commutative Associative Property of Addition Property of Addition A +B = B+ A Row 2 Commutative Associative Property of Addition Property of Addition (A+ B) + C = B+(A+C) Row 3 Additive Additive Identity Property Inverse A + O = A and O+ A = A Property Row 4 Additive Identity Property Additive Inverse A + (-A) = 0 Property

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 99E
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Matrices A, B, C, and O all have dimensions m x n. All elements of
matrix O are equal to zero.
Identify the correct matrix addition property for each row of the table
below.
Select Option A or Option B.
Option A
Option B
Row 1
Commutative
Associative
Property of
Addition
Property of
Addition
A +B = B+ A
Row 2
Associative
Property of
Addition
Commutative
Property of
Addition
(A+ B) + C = B+(A+C)
Row 3
Additive
Additive
Identity
Property
Inverse
Property
A + O = A and O+ A = A
Row 4
Additive
Additive
Identity
Property
Inverse
A + (-A) = 0
Property
Transcribed Image Text:Matrices A, B, C, and O all have dimensions m x n. All elements of matrix O are equal to zero. Identify the correct matrix addition property for each row of the table below. Select Option A or Option B. Option A Option B Row 1 Commutative Associative Property of Addition Property of Addition A +B = B+ A Row 2 Associative Property of Addition Commutative Property of Addition (A+ B) + C = B+(A+C) Row 3 Additive Additive Identity Property Inverse Property A + O = A and O+ A = A Row 4 Additive Additive Identity Property Inverse A + (-A) = 0 Property
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