Homogeneous Systems

If a system of m equations and n unknowns has all zero independent terms, it is said to be homogeneous.

Therefore, it only admits the trivial solution: x1 = x2 =... = xn = 0.

A homogeneous system has solutions other than the trivial when the rank of the coefficient matrix is less than the number of unknowns, that is to say, that the determinant of the coefficient matrix is zero.

r < n

Solving Homogeneous Systems

sistema homogéneo

sistema homogéneo

sistema homogéneo

sistema homogéneo

sistema homogéneo

sistema homogéneo

sistema

sistema homogéneo

r = 3 n = 3

sistema homogéneo


sistema

sistema homogéneo

sistema homogéneo

sistema homogéneo

sistema homogéneo

sistema homogéneo


sistema

sistema homogéneo

r = 3 n = 3

sistema homogéneo





  • Top