Check the true statements below: A. A single vector by itself is linearly dependent. B. If H = span{b1, . , bp} , then {b1,., bp} is a basis for H. C. A basis is a spanning set that is as large as possible. D. In some cases, the linear dependence relations amoung the columns of a matrix can be affected by certain elementary row operations on the matrix. E. The columns of an invertible n × n matrix form a basis for R".

Check the true statements below: A. A single vector by itself is linearly dependent. B. If H = span{b1, . , bp} , then {b1,., bp} is a basis for H. C. A basis is a spanning set that is as large as possible. D. In some cases, the linear dependence relations amoung the columns of a matrix can be affected by certain elementary row operations on the matrix. E. The columns of an invertible n × n matrix form a basis for R".

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.1: Orthogonality In Rn

Problem 7EQ

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