Only one of the following statements is false (A) If S = {v1, V2, V3, V4, v5} is a linearly independent set in %3D R, then S is a basis of R5 (B) If R is the reduced row echelon form of A, then those row vectors of R that contain the leading 1's form a basis for the row space of A (C) If R is the reduced row echelon form of B, then those column vectors of R that contain the leading 1's form a basis for the column space of B (D) If W = span{(1, –4), (–2, 1), (7, 1)}, then dim(W) = 2 (E) If the system of linear equations Ax = b is inconsistent, then b is not in the column space of A

Only one of the following statements is false (A) If S = {v1, V2, V3, V4, v5} is a linearly independent set in %3D R, then S is a basis of R5 (B) If R is the reduced row echelon form of A, then those row vectors of R that contain the leading 1's form a basis for the row space of A (C) If R is the reduced row echelon form of B, then those column vectors of R that contain the leading 1's form a basis for the column space of B (D) If W = span{(1, –4), (–2, 1), (7, 1)}, then dim(W) = 2 (E) If the system of linear equations Ax = b is inconsistent, then b is not in the column space of A

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 10CM

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