9. Let F be a field. Find bases of the following two subspaces of F5 : W₁ = {(a₁, a2, a3, a4, a5) = F5 | a₁ a3 a4 = 0}_and W₂ = {(a₁, A2, A3, A4, A5 ) ≤ F5 | a2 = a3 = a4 and a₁ + a5 = 0} 2 What are the dimensions of W₁ and W₂ ?
9. Let F be a field. Find bases of the following two subspaces of F5 : W₁ = {(a₁, a2, a3, a4, a5) = F5 | a₁ a3 a4 = 0}_and W₂ = {(a₁, A2, A3, A4, A5 ) ≤ F5 | a2 = a3 = a4 and a₁ + a5 = 0} 2 What are the dimensions of W₁ and W₂ ?
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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