Consider the vector space of 2 x 2 matrices with the usual addition and scalar multiplication of matrices. which of the following sets are subspaces? a b i) The set of all such that 5a +b 3c-d. c d ii) The set of all 2 x 2 matrices A such that AX =0 has nontrivial solution. ii) The set of all 2 x 2 matrices A such that AX = is consistent. O D only O i) and ilii) only O i) only O Dand i) only i) and ii) only

Consider the vector space of 2 x 2 matrices with the usual addition and scalar multiplication of matrices. which of the following sets are subspaces? a b i) The set of all such that 5a +b 3c-d. c d ii) The set of all 2 x 2 matrices A such that AX =0 has nontrivial solution. ii) The set of all 2 x 2 matrices A such that AX = is consistent. O D only O i) and ilii) only O i) only O Dand i) only i) and ii) only

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...

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