This page explores the matrix equation Ax=b, defining key concepts like consistency conditions, the relationship between matrix and vector forms, and the significance of spans. It explains that ...This page explores the matrix equation Ax=b, defining key concepts like consistency conditions, the relationship between matrix and vector forms, and the significance of spans. It explains that for Ax=b to have solutions, the vector b must lie within the span of A's columns. Systems have solutions for all b if A has a pivot in every row.
