Welcome to our community

Be a part of something great, join today!

Basis and Vectors

Kaspelek

New member
Apr 21, 2013
26
Hi guys,

I'm back and have another Linear Albgera question!



Thanks in advance.

No idea how to start
 
Last edited by a moderator:

Fernando Revilla

Well-known member
MHB Math Helper
Jan 29, 2012
661
In both cases, you only need to apply the definition of coordinates. For $(a)$ express $v=x_1(1,0,1)+x_2(1,1,0)+x_3(0,1,1)$, solve the system and $[v]_{\mathcal{B}}=(x_1,x_2,x_3)^T$. For $(b)$, $w=1v_1+2v_2-3v_3$, where $\mathcal{B}=\{v_1,v_2,v_3\}$. Let us see what do you obtain.