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Problem 3. Let S = {$₁,..., $n} be a set consisting of n elements. Show that the F- finite-dimensional, and find a list of n linearly independent vectors vector space FS is in FS. Hint. It may be helpful to make use of the functions 8₁,...,n in FS defined by 1 = { dj (si) if i = j, otherwise.

Problem 3. Let S = {$₁,..., $n} be a set consisting of n elements. Show that the F- finite-dimensional, and find a list of n linearly independent vectors vector space FS is in FS. Hint. It may be helpful to make use of the functions 8₁,...,n in FS defined by 1 = { dj (si) if i = j, otherwise.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 3. Let S = {$₁,..., $n} be a set consisting of n elements. Show that the F- finite-dimensional, and find a list of n linearly independent vectors vector space FS is in FS. Hint. It may be helpful to make use of the functions 8₁,...,n in FS defined by 1 = { dj (si) if i = j, otherwise.
Transcribed Image Text:Problem 3. Let S = {$₁,..., $n} be a set consisting of n elements. Show that the F- finite-dimensional, and find a list of n linearly independent vectors vector space FS is in FS. Hint. It may be helpful to make use of the functions 8₁,...,n in FS defined by 1 = { dj (si) if i = j, otherwise.
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