Let 1 ≤ i ≤n and let ₁,... Vi-1, Ui+1,..., Un € Rn. Vi-1 Vi+1 (a) Show that T: R → R where T(F) = det [7₁ is linear. (b) Show that T: R" → R where T(x) = det T V₁+1' TE is linear. Un
Let 1 ≤ i ≤n and let ₁,... Vi-1, Ui+1,..., Un € Rn. Vi-1 Vi+1 (a) Show that T: R → R where T(F) = det [7₁ is linear. (b) Show that T: R" → R where T(x) = det T V₁+1' TE is linear. Un
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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![Let 1 ≤ i ≤n and let ₁,...Vi-1, Vi+1,..
(a) Show that T: R" → R where T(7) = det [7₁
is linear.
V₁
(b) Show that T: R" → R where T(x) = det
,..., Un € Rn.
Vi-1 Vi+1
Pi+1'
is linear.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8318eda7-7aa5-4da6-acf2-2f8cbb39a8e1%2F36e51aa9-1d58-4f94-900b-02dce89085e4%2F07ma0c_processed.png&w=3840&q=75)
Transcribed Image Text:Let 1 ≤ i ≤n and let ₁,...Vi-1, Vi+1,..
(a) Show that T: R" → R where T(7) = det [7₁
is linear.
V₁
(b) Show that T: R" → R where T(x) = det
,..., Un € Rn.
Vi-1 Vi+1
Pi+1'
is linear.
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