Matrices Solutions

Hello guys, today I will be explaining when a matrix has solutions and when they have infinite solutions! First of all, a matrix that has no solution will have a row with zeroes in it from the left until it reaches a non-zero number on the far right(the number that is separated by a line. This makes sense because if we put that row in an equation form, 0=a number that is not zero and that is not possible! On the other hand, a matrix that has infinite solutions is one where there are less rows than columns. This means that there will be less equations than variables! To solve theses kinds of problems, we will have to solve in terms of a variable which makes the possibilities infinite! By the way, The row echelon form of a matrix is when it is set up a specific way where the main diagonal in the matrix will only consist of 1's and the numbers surrounding that will all be 0's. Good luck everyone!