Consider the First-Order Homogeneous System of Linear Differential Equations

Multiple Choice

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.