5. Show that the set {1, x,x²,...,x¹} is linearly independent in P₁(F).
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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Can you do no 5 please.
Transcribed Image Text:5. Show that the set {1, x,x²,...,x"} is linearly independent in Pn(F).
6. In Mmxn (F), let Ej denote the matrix whose only nonzero entry is 1 in
the ith row and jth column. Prove that {Eij: 1 ≤ i ≤m, 1≤j≤n}
is linearly independent.
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