Linear independence
= Linear independence
{wiki}
= Linearly independent vectors
{synonym}
= Linearly independent
{synonym}
Vectors $v_1,\ldots,v_n$ are linearly independent when
$$
a_1v_1+\cdots+a_nv_n=0
$$
implies $a_1=\cdots=a_n=0$.
= Linear independence
{wiki}
= Linearly independent vectors
{synonym}
= Linearly independent
{synonym}
Vectors $v_1,\ldots,v_n$ are linearly independent when
$$
a_1v_1+\cdots+a_nv_n=0
$$
implies $a_1=\cdots=a_n=0$.