Understandings+and+Questions

Enduring Understandings and Essential Questions
In linear algebra, solving a set of linear equations can be accomplished using seemingly different procedures including elimination, Cramer’s Rule and Row Operations. Each of these procedures will result in conversion of the system matrix into the identity matrix such that the column of constants are also converted into the solutions for each ‘variable’.

What does it mean to find ‘solutions’ to a system of equations? What are the relationships between the number of variables, the number of equations, and the number of ‘Dimensions’ in a problem?