In V, (R), where R is the field of real numbers, examine each of the following sets of vectors and find out which set of vectors is linearly independent (a) {(2, 1, 2), (8, 4, 8)} (b) {(- 1, 2, 1), (3, 0, - 1), (- 5, 4, 3)} (c) {(2,3, 5), (4, 9, 25)} (d) {(1, 2, – 1), (3, 1,5), (3, - 4, 7)}

In V, (R), where R is the field of real numbers, examine each of the following sets of vectors and find out which set of vectors is linearly independent (a) {(2, 1, 2), (8, 4, 8)} (b) {(- 1, 2, 1), (3, 0, - 1), (- 5, 4, 3)} (c) {(2,3, 5), (4, 9, 25)} (d) {(1, 2, – 1), (3, 1,5), (3, - 4, 7)}

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.4: Linear Transformations

Problem 24EQ

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Question

In V, (R), where R is the field of real numbers,
examine each of the following sets of vectors
and find out which set of vectors is linearly
independent
(a) {(2, 1, 2), (8, 4, 8)}
(b) {(- 1, 2, 1), (3, 0, – 1), (– 5, 4, 3)}
(c) {(2,3, 5), (4, 9, 25)}
(d) {(1, 2, – 1), (3, 1,5), (3, - 4, 7)}

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