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1. (a) For the invariant theory connected to the general linear model, find g. (b) Show that ģ: 0₁ (c) Show that 8² › 0₁ and 9: 0₂ ₂ for all g. -2 0-² Σ₁² is the maximal invariant in i=1 = = {$₁,..., 1, ···, §k, 0²}.

1. (a) For the invariant theory connected to the general linear model, find g. (b) Show that ģ: 0₁ (c) Show that 8² › 0₁ and 9: 0₂ ₂ for all g. -2 0-² Σ₁² is the maximal invariant in i=1 = = {$₁,..., 1, ···, §k, 0²}.

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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1. (a) For the invariant theory connected to the general linear model, find g. (b) Show that ğ : 0₁ → 9₁ and 9: 0₂ ā (c) Show that 8² = 0 ₂ for all g. Σ7_₁ ? is the maximal invariant in © = {§1, ..., Ék, 0²}.
Transcribed Image Text:1. (a) For the invariant theory connected to the general linear model, find g. (b) Show that ğ : 0₁ → 9₁ and 9: 0₂ ā (c) Show that 8² = 0 ₂ for all g. Σ7_₁ ? is the maximal invariant in © = {§1, ..., Ék, 0²}.
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