複選題

6.Let and nullity( A ) denote the dimension of N( A ). Suppose nullity( A ) = 2. Which of the following statements are true?
(A) rank(A^T) = 3
(B) nullity(A^T) = 4
(C) Let A = [a₁, a₂, a₃], where a₁, ₂, a₃ are column vectors of A. Then a1 and az are linearly dependent.
(D) The linear equation Ax = 0 has infinitely many solutions.
(E) The lincar equation A^Ty = d cannot have a unique solution for any

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