Answer:
1) False
2) False
3) True
4) False
Step-by-step explanation:
1) Flase, {v1,v2,v3, ..., vp} is a base for H when they span H and also they are linearly independent.
2) False. A single nonzero vector is linearly independent , not dependent. There is not null linear combination that gives 0 as a result involving that vector.
3) True, if the columns werent linearly independent, we could triangulate the matrix and obtain 0, so the matrix wouldnt be invertible. This means that the columns should be linearly independent for the matrix to be invertible and as a consecuence, they will spam a subspace of R^n of dimension n, which means that they will spam all R^n and therefore, they form a basis of R^n.
4) False. A basis is a spanning set that is as small as possible. Larger spanning sets will have extra elements apart from those who can form a base toguether. Those elements will make the set linearly dependent.
For this you divide the total spent by the total number of pizzas...
16.50/ 3 = $5.50 per pizza.
Answer:
Median is 31, if you are talking about the parallel line in between JK and and ML
Answer:
11.5
Step-by-step explanation:
Simple interest formula:
where
I = interest
P = principal
r = rate
t = time
In your case,
P = $4,000
I = $4,920 - $4,000 = $920
t = 2 years
So,
The rate as decimal is 0.115 that is 11.5% as percent
