Linearni sistem matrik

https://www.wolframalpha.com/input/?i=5...

Rešitev: y = 3x, z = -x
Zadnja komponenta (z) je enaka 1.
( x, y, 1) in z = -x < = > (-1, y, 1) in y = 3x < = > (-1, -3, 1)

Wikipedia - System of linear equations @ Wikipedia

Every homogeneous system has at least one solution, known as the zero solution (or trivial solution), which is obtained by assigning the value of zero to each of the variables. If the system has a non-singular matrix (det(A) ? 0) then it is also the only solution. If the system has a singular matrix then there is a solution set with an infinite number of solutions.

https://www.wolframalpha.com/input/?i=d...
Determinanta je 0 => singularna matrika

A matrix is singular iff its determinant is 0.

- http://mathworld.wolfram.com/SingularMa...

PS najprej z determinanto pokažeš ali je matrika singularna. Če je det != 0 pomeni da matrika ni singularna in da je trivialna rešitev edina.

PSS Kater faks ? :)