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The set of all x ɛR ( means: x belongs to R ) for which the vectors : [1, x, 0] , [ 0, x² , 1] ,[0, 1, ×] are linearly independent Select one: O 1. {xɛ R:X # 1} O 2. {xɛ R:X -1} O 3. {xɛ R:Xx = 0 } O 4. {x ɛR:X # 0 }

The set of all x ɛR ( means: x belongs to R ) for which the vectors : [1, x, 0] , [ 0, x² , 1] ,[0, 1, ×] are linearly independent Select one: O 1. {xɛ R:X # 1} O 2. {xɛ R:X -1} O 3. {xɛ R:Xx = 0 } O 4. {x ɛR:X # 0 }

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 78E: Let S={v1,v2,v3} be a set of linearly independent vectors in R3. Find a linear transformation T from...
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The set of all x ɛR(means: x belongs to R) for which the vectors : [1, x, 0] , [ 0, x² , 1],[0, 1, x] are linearly independent Select one: O 1. {xɛ R:x # 1} O 2. {xɛ R:x -1} O 3. {xɛ R:x = 0 } O 4. {x ɛR:x ± 0 }
Transcribed Image Text:The set of all x ɛR(means: x belongs to R) for which the vectors : [1, x, 0] , [ 0, x² , 1],[0, 1, x] are linearly independent Select one: O 1. {xɛ R:x # 1} O 2. {xɛ R:x -1} O 3. {xɛ R:x = 0 } O 4. {x ɛR:x ± 0 }
Which of the following sets of vectors in R3 are linearly independent : 1. {[ 1, 0, 0 ], [ 0, 1, 0], [ 1, 1, 0 ]} 2. {[ 1, 0, 0 ], [ 0, 1, 0], [ 0, 0, 1 ]} 3. {[ 0, 1, 0], [ 1, 0, 1], [ 1, 1, 0 ]} 4. {[ 0, 0, 1], [ 0, 1, 0], [ 0, 1, 1 ]} Select one: 1 and 4 1 and 2 2 and 3 3 and 4
Transcribed Image Text:Which of the following sets of vectors in R3 are linearly independent : 1. {[ 1, 0, 0 ], [ 0, 1, 0], [ 1, 1, 0 ]} 2. {[ 1, 0, 0 ], [ 0, 1, 0], [ 0, 0, 1 ]} 3. {[ 0, 1, 0], [ 1, 0, 1], [ 1, 1, 0 ]} 4. {[ 0, 0, 1], [ 0, 1, 0], [ 0, 1, 1 ]} Select one: 1 and 4 1 and 2 2 and 3 3 and 4
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