The rank of a matrix is equal to the dimension of its row space, that is, rank(A) = dim(Row(A)) . Find two matrices A, B E M22 such that rank(A+B) < rank(A) + rank(B) . %3D

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
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The rank of a matrix is equal to the dimension of its row space, that is, rank(A) = dim(Row(A)). Find two
matrices A, B E M22 such that rank(A+ B) < rank(A) + rank(B) .
Transcribed Image Text:The rank of a matrix is equal to the dimension of its row space, that is, rank(A) = dim(Row(A)). Find two matrices A, B E M22 such that rank(A+ B) < rank(A) + rank(B) .
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