Question

Determine whether the set S is linearly independent ir linearly depentdent. S = {(4,-3,6,2)(1,8,3,1)(3,-2,-1,0)}.

Answer 1

this is an equivalent problem:
is the following system consistent? :

4x + y + 3z = 0
-3x + 8y -2z = 0
6x + 3y - z =0
2x + y = 0

Answer 2

row reduce the matrix

Answer 3

or that

Answer 4

@amistre64 is there a determinant method if we have n equations and n-1 unknowns ?

Answer 5

there is but im not sure how to read it with nonsquare matrixes

Answer 6

in essesne it comes across as a cross product instead of a singular value

Answer 7

rref, and if you obtain any columns without a pivot entry, your linearlyD