Let u, v, w be three vectors in R4, with the following properties: {u, v} are linearly indepen- dent, and w is not in the span generated by u and v. Explain why {u, v, w} are, in fact, linearly independent.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.

idk lol xd

step-by-step explanation:

ez do it yourself lazy

a

step-by-step explanation:

the answer is a