Which of the following statements are true? A. If the

Last updated: 8/6/2022

Which of the following statements are true? A. If the columns of an m X n matrix A span Rᵐ, then the equation Ax=b is consistent for each b in Rᵐ. B. Every matrix equation Ax=b corresponds to a vector equation with the same solution set. C. The equation Ax=b is referred to as a vector equation. D. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax=b has at least one solution. E. If the augmented matrix [ A b] has a pivot position in every row, then the equation Ax=b is inconsistent. F. Any linear combination of vectors can always be written in the form Ax for a suitable matrix A and vector x.