Using the values 1, 0, and *(to represent any number), list all the possible combinations that could result from performing reduced row echelon form on a 2 x 3 matrix.
Instructor 2 x 2 matrix example:
The Attempt at a Solution
I have found 13 different combinations:
but we have no examples beyond the 2 x 2 matrix so I haven't been able to attempt to model an equation(since I can't find a theorem or definition that models this) to predict the number of combinations I should find for a 2 x 3 matrix.
Any help in determining if this is the correct amount of combinations for a 2 x 3 matrix that has been simplified to RREF or what ones I may be missing would be appreciated.