# decide if the given statement is true or false,and give a brief justiﬁcation for your answer.If true, you can quote a relevant deﬁnition or theorem. If false,provide an example,illustration,or brief explanation of why the statement is false. Q. If A is a 2 × 2 matrix of constants whose determinant is zero, then the vector differential equation x′(t) = Ax(t) cannot have two linearly independent solutions.

Question

decide if the given statement is true or false,and give a brief justiﬁcation for your answer.If true, you can quote a relevant deﬁnition or theorem. If false,provide an example,illustration,or brief explanation of why the statement is false.

Q. If A is a 2 × 2 matrix of constants whose determinant is zero, then the vector differential equation x′(t) = Ax(t) cannot have two linearly independent solutions.

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Calculus

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