Question Let Foo = Sinx and gox) = cos x and W=span[f,g] 1. Use the Wronskian to show that I and g are linearly independent. For de R, let F₁(x) = sin(x+d) and e₁₁ cxx) = cos 6c+al Show that Fi, g₁ EW. 3-Show that [Fi, g₁] is ten linearly independent

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 11EQ
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PE
Let Foo = Sinx and goo) = cos x and W=span [g]
lo
1. Use the Wronskian to show that I and
linearly independent.
g are
2. For a & R, let F₁(x) = sin(xta) and 9₁₁ 00² = cos 6c+al
Show that Fi, g₁ EW.
3- Show that [fi, gi] is ten linearly independent
Transcribed Image Text:Question PE Let Foo = Sinx and goo) = cos x and W=span [g] lo 1. Use the Wronskian to show that I and linearly independent. g are 2. For a & R, let F₁(x) = sin(xta) and 9₁₁ 00² = cos 6c+al Show that Fi, g₁ EW. 3- Show that [fi, gi] is ten linearly independent
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