# Some problems – linear independent

BT về độc lập tt.

Prob 1. Prove that any three vectors in $\mathbb{R}^2$ are linearly dependent. Generalize this result to $\mathbb{R}^n$.

Prob 2. Show that the function $x, e^x sinx, e^x cosx$ form a linearly independent subset of the vector space $C[0,\pi]$.

Trích: Derek Robinson, A course in linear algebra with applications, World Scientific 2006.