Consider the first-order homogeneous system of linear differential equations and the following three vector functions: Which of the following statements are true? Select all that apply. A) {X₁,X₂ ,X₃ } is a fundamental set of solutions for this system. B) W [X₁(t), X₂(t)] ? 0 for every real number t. C) X₁ and X₂ are linearly dependent. D) 6X₁ + 4X₂ + 3X₃ is a solution of this system. E) {X₁, X₂} is a fundamental set of solutions for this system.

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The Answer of Consider the first-order homogeneous system of linear differential equations and the following three vector functions: Which of the following statements are true? Select all that apply. A) {X₁,X₂ ,X₃ } is a fundamental set of solutions for this system. B) W [X₁(t), X₂(t)] ? 0 for every real number t. C) X₁ and X₂ are linearly dependent. D) 6X₁ + 4X₂ + 3X₃ is a solution of this system. E) {X₁, X₂} is a fundamental set of solutions for this system.

Consider the First-Order Homogeneous System of Linear Differential Equations