Answer and Step-by-step explanation:
Every group homomorphism ϕ:Zn→Zm extends in a unique way to a linear transformation T:Qn→Qm of vector spaces over Q.
Moreover, ϕ is injective iff T is injective. But T being injective implies n≤m.
Applying this to both ϕ and ϕ−1, we conclude that n≤m≤n.
NOTE:
The proof and step-by-step explanation is in the attachment below
The greatest common factor of 175 and 25?
Find out if 175 can be divided by 25. If it can, then it becomes the greatest common factor
_____
25)175. = 7
Answer:
Step-by-step explanation:
33/4 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 33 ÷ 4 = 8 and remainder = 1 => 33/4 = (8 × 4 + 1)/4 = 8 + 1/4 = 8 1/4
Answer: y - 1 = 
(x - 6)
<u>Step-by-step explanation:</u>
Point-Slope form: y - y₁ = m(x - x₁) <em>where m is slope and (x₁, y₁) is the point</em>
m = (x₁, y₁) = (6, 1)
y - 1 = (x - 6)
Answer:
Step-by-step explanation:
