Hello, I just learn about homogeneous system. And had to solve the following system, the solution is given, but I can't seem to get the correct solution. The system is given: w + x + y +4z = 0 w + x +5z = 0 2w+ x + 3y+4z = 0 w - 3x + 2y- 9z = 0 there should be infinitely many solutions. Thanks again =]
A = [ [1 1 2 1]' [1 1 1 -3]' [1 0 3 2]' [4 5 4 -9]' [0 0 0 0]'] Use row reduction to get the reduced row echelon form. You will see rows of 0's this means that the corresponding variable can be parameterized. This gives you infinite solutions.
this is linear Algebra. Why don't you download the program called "MatLab". When I took the class, i simply used that program to solve all this
If the OP doesn’t figure out how to do the question by hand, then he/she would be screwed for the final exam b/c you’re usually not allowed to bring computers (Matlab) to exams.