An invertable matrix is a special type of matrix (a set of numbers arranged in rows and columns) that can be used to solve certain problems. If the matrix is invertible, that means that it can be "turned" (or inverted) so that the rows and columns switch places - allowing it to be used to solve the problem. To do this, the matrix has to fit certain special criteria. For example, it has to have the same number of columns as it does rows, and the numbers inside the matrix have to interact with each other in special ways.