Which of the following statements are true? Remember that a mathematical statement is said to be true if it is always true, under all circumstances. A. Every matrix equation Ax b corresponds to a vector equation with the same solution set.
B. If A is an m x n matrix and if the equation Axb is inconsistent for some b in R", then A cannot have a pivot in every row.
C. The first entry in the product Ax is a sum of products.
D. If the augmented matrix [A l b] has a pivot position in every row, then the equation Ax-b is inconsistent.
E. The equation Ax-b is consistent if the augmented matrix [A I b] has a pivot position in every row.
F. If A is an m x n matrix whose columns do not span Rm, then the equation Ax-b İs inconsistent for some b in R.