Recent content by Zoey93

Hello Deveno, Thank you for your help. So I finished the assignment but there are a few things I need to fix. I need help correcting number 4, my professor said that my statement is incorrect. Also, I need help correcting part B the zero divisor, my professor said that it was incorrect. Here...

Hey there, I need some help with this assignment: Use the definition for a ring to prove that Z7 is a ring under the operations + and x as defined as follows: [a]7+[b]7 = [a+b]7 and [a]7 x [b]7 = [a x b]7 1. state each step of your proof 2. provide written justification for each step.But...

Hey guys, I came up with this example. My professor said, "The subset S is shown to contain the zero vector. Not all nontriviality properties are identified. One additional property needs to be shown in order for S to be proven nontrivial." I am not sure what additional property he is talking...

It is the closure of vectors under scalar multiplication.

Hey guys, I really need help in revising my Axiom 6 for my Linear Algebra course. My professor said, "You need to refine your statement. You want to show rx1 and rx2 are real numbers. You should not state they are real numbers." Here is my work: Proof of Axiom 6: rX is in R2 for X in R2...

Hey guys! Thank you all for your help. I came up with this example: My defintion of a non-trivial subspace: A non-trivial subspace of vector space, V, contains the zero vector and at least one non-zero vector, and is closed under addition and scalar multiplication. I used the equation y =...

Hey, I need help coming up an example of a subset of $\Bbb R^2$ that is a nontrivial subspace of $\Bbb R^2$. Thank you!

Hey, I need help with part D2. My explanation is not right so I honestly do not know what I am suppose to write. My assignment is attached to this thread.

Hey, I am working on this problem over the root test but I am not sure if I am doing it right. I will attach my work to this thread and I really want someone to look over my work and see if I am doing it right. By the way I didn't finish the problem because I was not sure where to go from my...

Hey, I am working on Calculus III and Analysis, I really need help with this one problem. I am not even sure where to begin with this problem. I have attached my assignment to this thread and the problem I need help with is A. Thank you!

Axiom 1: Each game is played by two distinct teams. Axiom 2: There are at least four teams. Axiom 3: There exist at least one game. Axiom 4: Each team plays at most 10 games. Theorem 2: If there are exactly 4 distinct teams, then there are at most 20 games. Proof: By hypothesis we have...

Axiom 1: Each game is played by two distinct teams. Axiom 2: There are at least four teams. Axiom 3: There exist at least one game. Axiom 4: Each team plays at most 10 games. I came up with another theorem because my professor wanted us to come up with two theorems. So, far this is what I got...

Axiom 1: Each game is played by two distinct teams. Axiom 2: There are at least four teams. Axiom 3: There exist at least one game. Axiom 4: Each team plays at most 10 games. Theorem 1: There are at least two teams that play a game. Proof: According to Axiom 1, each game is played by two...

Here is the question: Provide a logical argument that demonstrates that when applying any two reflections, the outcome will always either be equivalent to a rotation or a translation. This is what I came up with: •Translation A reflection is defined as, “a transformation in which a...

Axioms 1 and 2 were given and axioms 3 and 4 I came up with: Axiom 1: Each game is played by two distinct teams. Axiom 2: There are at least four teams. Axiom 3: There exist at least one game. Axiom 4: Each team plays at most 10 games. I need help with coming up with theorems for these axioms...