-4 8 1) S contains only the vectors -EGGIO -2 2 The new linearly independent set with the same span would be

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 22EQ
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1) S contains only the vectors
31 DO
The new linearly independent set with the same span would be
-2
2) S contains only the vectors
2].[
3,]. [= $]· [ + 4]
-16
The new linearly independent set with the same span would be:
3) S contains only the vectors (-2+x-x² - 2x³), (4 + x - x² + 2x³), (8 + 5x - 5x² + 2x³), (10 + 7x - 7x²+2x³).
The new linearly independent set with the same span would be
-5
Transcribed Image Text:1) S contains only the vectors 31 DO The new linearly independent set with the same span would be -2 2) S contains only the vectors 2].[ 3,]. [= $]· [ + 4] -16 The new linearly independent set with the same span would be: 3) S contains only the vectors (-2+x-x² - 2x³), (4 + x - x² + 2x³), (8 + 5x - 5x² + 2x³), (10 + 7x - 7x²+2x³). The new linearly independent set with the same span would be -5
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