(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

if v_1,v_2,...,v_k be k linear independent vector, and if

v_1,v_2,...v_k,v be k+1 linear dependent vector, then

v is the linear combination of v_1,v_2,...,v_k

2. Relevant equations

n/a

3. The attempt at a solution

some of my attempt,(direct proof)

v_1,v_2,...v_k,v be k+1 linear dependent vector then when we write v_1,v_2,...v_k,v as linear combination of 0, there exist some coefficient not all of them 0. and i still no idea how to relate it to "v_1,v_2,...,v_k be k linear independent vector"

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear independent

**Physics Forums | Science Articles, Homework Help, Discussion**