Let $A = \left[\begin{array}{c}5\\-1\\-2\\\end{array}\right]$, $B = \left[\begin{array}{c}5\\0\\-3\\\end{array}\right]$, and $C = \left[\begin{array}{c}10\\-1\\-4\\\end{array}\right]$
Are $A$,$B$ and $C$ linearly dependent, or are they linearly independent?
Linearly independent
Linearly dependent
If they are linearly dependent, determine a non-trivial linear relation. Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds.
$A+$ $B+$ $C =0$.