試題詳解

37. A linear equation system Ax = b consists of m linear equations with n variables. Which of the following statements is correct?
(A) We can apply elementary column operations to solve this linear equation system.
(B) If A and B matrices are similar, then Ax=b and Bx=b have the same solution set.
(C) If this linear equation system has solutions, the solutions form a subspace.
(D) If m ≠ n and rank( A ) = m, then there exist infinite solutions.

(E) If m ≠ n, we can use "Cramer's rule" to find its solution.