Please teach me to solve linear equations with the matrix system.
Hello, how are you doing.
could you please post an example teaching me how to solve a linear equation of 3X3 you know 3 rows and 3 colums when solving with matrices, I don't understand very well what's our goal when solving linear equations with the matrix system, some books tell me that the goal is to end up with 3 zeros like this:
a b c d
0 e f g
0 0 h i
but in other textbooks I find that our goal is also to arrive at a matrix with some diagonal 1's like this
1 b c d
0 1 f g
0 0 1 i
so, what's our goal? is it really important fo finish with those 1's? if you could please post an example explaining for me very slowly how to solve this type of exercises.