linear systems have no solution if the determinant of the co

linear systems___ have no solution if the determinant of the coefficient matrix equals zero have infinitely many solutions if the determinant of the coefficient matrix is not zero have no solution if the row rank is less than the number of columns d) always have at least one solution e) always have exactly one solution Find a basis for the null space (i.e. solution space) of Ax = 0 for A is defined below A=[2 4 -4 -2 14 4 2 0 -4 12 2 3 -2 -1 9 0 2 -2 1 3]

Solution

Solution -

Homogenous linear system AX = 0

Always have atleast one solution x = 0

So choice D is correct here .