If a finite set S of nonzero vectors spans a vector space V , then some subset of S is a basis for V . True or False
1 answer:
<h3>Answer: True</h3>
Explanation:
This theorem doesn't have a name unfortunately. So searching it out is a bit tricky if you don't know the right way to word things. Luckily it wasn't too hard of a find, and I managed to track it down in a linear algebra textbook.
Check out the screenshot below for the snippet of the theorem and the corresponding proof. The book simply refers to it as "theorem 1.9", which again, is an unfortunate choice of naming.
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Answer:
<h2>a = - 4.8</h2>Step-by-step explanation:
To find the value of a when b=6 we must first find the relationship between them.
The statement
a is inversely proportional to b is written as
where k is the constant of proportionality
When a = 7.2 , b = -4
So we have
k = 7.2 × - 4
k = - 28.8
So the formula for the variation is
When
b = 6
That's
We have the final answer as
<h3>a = - 4.8</h3>Hope this helps you
Answer:
x = 65
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(leg of big Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)
x² = 25 × 169 = 4225 ( take square root of both sides )
x = = 65