anGiven that { 91, 92, 93, 94} is a linearly independent set of vectors in avVector spacespace V'( note that V need not be IR"). Use the diffProve that{aanax; -91 +92, 91-92 +93 ;-9, +92-93 +94"}is also aindependence)linearly independent set (use the definition of Linearly

Answered: Image /qna-images/answer/0dd7da2a-38d4-4b5c-afc9-0224048148cf.jpg

Answered: Given that {an, 92, 93, any is a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 21E

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Given that {an, 92, 93, any is a linearly independent set of vectors in a Vector space • V'( note that V need not be IR"). Use the diff space Prove that {a₁. ax; -91 +92, 91-92+93; -91 +92-93 +94} -a₁ is also a independence) linearly independent set (use the definition of Linearly