Which of the following is true? A. If S is a set of k vectors in R" and k n, then S is linearly dependent B. If S is a set of k vectors in R" and k = n, then S is linearly independent C. Every subset of a set of linearly dependent vectors is linearly dependent D. If the column vectors of an n x n matrix A are linearly independent, then the row vectors of A are also linearly independent E. None of the above O A. - O B. OC. D. E.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A, B, C, D, or E?
Which of the following is true?
A. If S is a set of k vectors in R" and k + n, then S is linearly
dependent
B. If S is a set of k vectors in R" and k = n, then S is linearly
independent
C. Every subset of a set of linearly dependent vectors is linearly
dependent
D. If the column vectors of an
n X n matrix A are linearly
independent, then the row vectors of A are also linearly
independent
E. None of the above
O A. -
OB. -
D.
Transcribed Image Text:Which of the following is true? A. If S is a set of k vectors in R" and k + n, then S is linearly dependent B. If S is a set of k vectors in R" and k = n, then S is linearly independent C. Every subset of a set of linearly dependent vectors is linearly dependent D. If the column vectors of an n X n matrix A are linearly independent, then the row vectors of A are also linearly independent E. None of the above O A. - OB. - D.
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