The vectors v u and w are linearly independent if and only i

The vectors...

v=

u=

and w=

are linearly independent if and only if k________

Solution

We solve this by finding the value of k for which the vectors are dependent. That is when we have a solution for:

aV + bW = U

a - 4b = -2

-b = -2

-3a+10b=k

a -8 = -2

a = 6

-18 +20 = k

k =2

linearly independent if and only if k2