The life-saving grace, when Yongquan reported, the masters came to help me ~~

rockandrb

This is the case for a solution of a system of linear equations: (in determinant terms)
1. When the coefficient determinant is equal to "0", it means that the equation has infinite solutions;
2. When the coefficient determinant is not equal to "0", explain the equation:
      (1) There are only zero solutions for the aligning equation;
      (2) There is only one solution for non-homogeneous equations.

LZ's algorithm does not consider the first case. How do you get the answer when the coefficient determinant is equal to "0"?

skyblue2222

I have been referring to the "textbook" issued by the school. I have never considered the case of the coefficient determinant. I directly add the coefficient matrix to the last column, that is, the constant column, and then reduce it to the simplest form, and then Take the last column as the solution for each unknown. I saw that many methods on the Internet are the same. I am the book "Mathematical Methods in 3d Games and Computer Graphics".

skyblue2222

It hasn't been resolved yet, but thank you all the brothers upstairs for your reply.

猫咪喵喵叫

Hey, I didn't remember what I learned last year!