I need the answer as soon as possible Only one of the following statements is false(A) If S = {vi, v2, V3, V4, Vs} is a linearly independent set inR, then S is a basis of R5(B) If R is the reduced row echelon form of A, then those rowvectors of R that contain the leading l's form a basis for therow space of A(C) If R is the reduced row echelon form of B, then thosecolumn vectors of R that contain the leading 1's form a basisfor 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 Ar = b is inconsistent,then b is not in the column space of A

option (c) is a false statement

Only one of the following statements is false (A) If S = {v1, v2, V3, V4, V5} is a linearly independent set in R°, then S is a basis of R (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 %3D (E) If the system of linear equations Ar = 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 R°, then S is a basis of R (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 %3D (E) If the system of linear equations Ar = b is inconsistent, then b is not in the column space of A

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 23EQ

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