👉 Column math is a method of solving systems of linear equations involving matrices, where each equation in the system is represented as a column vector in a matrix. The process involves transforming this column matrix into row-echelon form or reduced row-echelon form through elementary row operations, which are applied to the same matrix. This transformation simplifies the system, making it easier to identify solutions by examining the resulting rows. If a row contains only zeros except for the constant term, it indicates an infinite number of solutions or no solution, depending on the consistency of the remaining equations. Column operations like adding a multiple of one row to another or multiplying a row by a non-zero scalar are used to achieve this transformation, ultimately allowing for the determination of the solution set or absence thereof in a structured and systematic way.
