1-a)b)c)d)e)sin0sin t01. The Wronskian of ₁ (t), x2 (t), x3 (t) is W (x1, x2, x3)(t) = 2 sin³ t.II. x₁ (t), x₂ (t), x3 (t) are linearly independent on (-∞, ∞).=III. x₁ (t), x2 (t), x3 (t) are solutions of a linear homogeneous system x' (t)A(t) is a 3 x 3 matrix function continuous on (-∞, ∞0).Let x₁(t)=II and IIII and IIII and III, II and IIIOnly IBoş bırak, x₂ (t)sin tsin t=, x3 (t)0sin t . Which of the following statements are true?sin t=A(t)a(t) on (-∞, ∞), where

Answered: Image /qna-images/answer/b8364f8d-7d0c-46f7-9cad-5d1ecbc7e08e.jpg

1- a) b) C) d) e) sin t sin t 0 Let x₁(t) [] sin sin t sin t 0 sint 1. The Wronskian of ₁ (t), x2 (t), x3 (t) is W (x1, x2, x3)(t) = 2 sin³ t. II. x₁ (t), x₂ (t), x3 (t) are linearly independent on (-∞, ∞). III. x₁ (t), x₂ (t), x3 (t) are solutions of a linear homogeneous system x' (t) = A(t)x(t) on (-∞, ∞), where A(t) is a 3 x 3 matrix function continuous on (-∞, ∞). II and III I and III I and II I, II and III Only I Boş bırak , x₂ (t) = , x3 (t) Which of the following statements are true?

1- a) b) C) d) e) sin t sin t 0 Let x₁(t) [] sin sin t sin t 0 sint 1. The Wronskian of ₁ (t), x2 (t), x3 (t) is W (x1, x2, x3)(t) = 2 sin³ t. II. x₁ (t), x₂ (t), x3 (t) are linearly independent on (-∞, ∞). III. x₁ (t), x₂ (t), x3 (t) are solutions of a linear homogeneous system x' (t) = A(t)x(t) on (-∞, ∞), where A(t) is a 3 x 3 matrix function continuous on (-∞, ∞). II and III I and III I and II I, II and III Only I Boş bırak , x₂ (t) = , x3 (t) Which of the following statements are true?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 70EQ

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