In a matrix, what does it mean if the determinate is equal to zero? how can you solve the system?

Answer 1

When the determinate of a matrix is zero it means that either two or more rows are linearly dependent or that two or more columns are linearly dependent. As such you have a infinite solutions to the system of equations. Set up the matrix and solve by using Gauss-Jordan elimination and solve the system in terms of one of the variables. For example, if you have three variables, then solve in terms of x.

Answer 2

When the determinant is zero, it means the system of equations are either have infinite solution (same eq) or no solution (parallel)