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Consider following five sets: I. { <1, -1>, <1, 1> } { <0, 0> } II. { <1, -1> } III. IV. { <1, -1>, <1, 1>, <2 , 3> } V. { <1, -1>, <-2, 2> } Find all linearly independent set(s). (a) I (b) I and IV (c) I and II (d) III, IV and V (e) II (f) II

Consider following five sets: I. { <1, -1>, <1, 1> } { <0, 0> } II. { <1, -1> } III. IV. { <1, -1>, <1, 1>, <2 , 3> } V. { <1, -1>, <-2, 2> } Find all linearly independent set(s). (a) I (b) I and IV (c) I and II (d) III, IV and V (e) II (f) II

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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Consider following five sets: I. { <1, -1>, <1, 1> } { <0, 0> } II. { <1, -1> } III. IV. { <1, -1>, <1, 1>, <2, 3> } V. { <1, -1>, <-2, 2> } Find all linearly independent set(s). (a) I (b) I and IV (c) I and II (d) II, IV and V (e) II (f) II
Transcribed Image Text:Consider following five sets: I. { <1, -1>, <1, 1> } { <0, 0> } II. { <1, -1> } III. IV. { <1, -1>, <1, 1>, <2, 3> } V. { <1, -1>, <-2, 2> } Find all linearly independent set(s). (a) I (b) I and IV (c) I and II (d) II, IV and V (e) II (f) II
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