I want to understand what is meant by eigenvalues and eigenvectors of a binary matrix over F_2. For example, the eigenvalues themselves can't be in F_2 so how should they be defined?

I'm starting to review algerba more in depth and come across a tough polynomial to deal with f(x) = x^4 - 3x^2 + 2x - 5

I used rational roots theorem, and it didn't result in any rational roots. I was able to narrow down the range of the roots to (-3, 2) using the upper and lower bounds theorem. Finally, i used a graphing calculator to find the roots graphically.

But, if we restricted ourselves to not graph it, what is the best plan to find those roots?

Hey, I want a textbook to supplement it with professor leonard's videos mainly for practise and core concepts,
I had heard about Gilbert Strang's books and there is also Openstax's book (which itself is based on Gilbert Strang's book), So what books you all may suggest ? Or Khan Academy would be better for practising questions ?

And I am learning calculus for own own personal interest and it'll also be super useful in data science and Ml.

Im struggling to get better at maths.. I have my Uni exams in like 8 days, and there are still so many concepts that I JUST DONT UNDERSTAND 😭😭😭
iM FREAKING OUT ALREADYYYY. CAN ANYONE HELP??

I'm a junior in high school, and I'm taking AP stats and the course is light, but I'm not sure whether I should take the AP stats exam. I'm not majoring in anything related to stats(at least I don't think so.)

So when you rewrite x as a fraction, the denominator must be an odd number in order for the function (-1)^(x)∈R . But what if x is irrational number (such as pi, e...), how you determine whether (-1)^(x)∈R or not?

Lets say I have £100 and I earn 5% interest. The maths would be:

100 x 1.05 = £105

Now lets say I have £105 but I want to discount it back 5%. You just reverse the maths so:

105/1.05 = £100

This is simple maths but for someone reason by brain can't understand how it works lol

For some reason by brain is reading it as. £105/ 105% = an answer that is 100% (which is this case is £100)

But that makes no sense. How does dividing by 105% give me an answer that is 100%. I know I'm getting something confused but I just can't work out what.

all natural N that (2*N^N) + 1 is a perfect square.

*Sorry,english is not my fist language.

I had a question about dilations, is it true that if you multiply by a scale factor smaller than one, then the answer will be smaller than the original? Thanks for the help in advance.

I'm not sure if I understand minimality and maximality so I would like somebody to tell me if I'm right or wrong in my following very simiplistic understanding?

The set X contains orange, bananas and apples. John favourites are bananas, orange are fine and he hates apples. I know we can say go through all the strong preference, weak preference stuff but if we had another set containing just element apples would it be right to say then in a binary relation between these two sets that apples are minimality. And vis versa if the 2nd set contained just element bananas then that's maximality?

Hi Everyone

I need Android testers for my Entusia Math Exercise Application

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Hey every 1 I played the lotto in my country and won a small prize by picking 3 correct numbers out of 6. The lotto type is 6 out of 49. I always pick the same numbers. Will it make sense to pick difrent ones form nou on? Since I guessed 3 of them now.

Fix an arbitrary integer 𝑛 ≥ 2. Let G𝑛 denote the class of all congestion games with exactly 𝑛 players. Prove that PoS(G𝑛) = 𝑛. Explain and justify your answers.

Hi, I've been stuck on this for a while and was hoping to get some help, I know I need to split this problem into the upper and lower bound proof and I think I have the upper bound proof done (PoS(G𝑛) ≤ n) but I'm stuck on the lower bound.

I know I can construct an instance with two parallel links and hence prove that the PoS(G𝑛) can be as bad as n but I'm stuggling to find a system where the best pure nash equilibria is n times worse than the optimmal social cost. I know that I cannot use a system where one of the routes is a constant as OSC will equal the best PNE resulting in a POS of 1. Any help would be greatly appreciated.

My professor just ask this question is there a way or is it a trick question. I am genuinely curious about the answer and need of help.

This will probably be a pretty stupid question, but I have an extraordinary ability to get stuck on nonsensical, miniscule things, so I'm just going to ask.

I, for the life of me, cannot understand this. I'm attending a mathematics course at school. In the book, there's this problem: 2-4 times (2-5)

So, in the example, they solve it as follows:

2-4 x (2-5)

= 2-4 x (-3)

= 2+12 (as in, -4 x (-3))

= 14

Now, somehow, in my brain, because it's 2-4 x (2-5), it should be

2-4 x (2-5)

= 2-4 x (-3)

= 2-(-12) = 2+12 (as in, 4 x (-3) = -12)

=14

The end result is obviously the same, as you see. But in the problem, 2-4 x (2-5), they use minus sign in 2-4 to mean that the 4 is a negative number. So, is it automatically a negative number if there's a subtraction minus in front of it? I hope at least someone understands where I'm stuck, I know it's stupid but I cannot get past this.

Thank you all in advance!

Let’s say I wanted to write 29 being square rooted twice, how do I correctly write it?

Find the area of surface generated by revolving y=x^2 , x[belongs to][0,3^(1/2)] about y-axis

So this was the sum. I used integration (0 to 3) 2 pi x dy (surface area of cylinder) And i am pretty sure it is incorrect. There is formula on internet that includes (1+(y’)^2)^(1/2) but I don’t know WHERE it came from and I really want to understand HOW it came.

I'm in calc 3 and what happens when you dot product 2 vector functions we're doing it right now but my teacher didn't explain what the answer meant it could be like 2t^2 + t. What is that is that scalar or vector? Also what is the cross product of 2 vector functions? what does that mean?

I lost 1.25 marks on this question :(

lim x→0 (sin 2x/sin 6x)

Can you solve it please?

Fine the domain and range of f(x)=x/x-2 with explaination please

Hey, can we draw a triangle consisting of 3cm, 3cm and 6cm sides? I know it would result in a line, but is this still considered a triangle since we would have 3 sides and the sum of degrees are 0+0+180=180°? (The 180° is cause it’s the basically 0 when you turn a side from right to left?)

Maybe I’m too high for this idk sorry for the question 😅

I’ve been getting graded poorly due to not giving the correct values on scratch work. I get the correct answers but again scratch work isn’t perfect. I am dyslexic and I’m trying so hard. I am at a loss at what to do. Please does anyone have tips for dyslexics and math? I can do most problems in my head if I stare long enough. That’s another issue they don’t like. Since the beginning of the semester I’ve lost 40 pounds from stress. That’s not normal for a time frame of two months. Im mentally not okay.

I am learning to woodwork, and I am unsure how to find the angle that I need to cut. I started using Autodesk Fusion, but I’m still stuck.

I’m cutting legs to a coffee table that will taper, and also angle away from the table base. I can find the angles of the leg, but I am unsure what angle to cut the top of my board so the leg will “fit” inside it.

What angle do I need to cut the top and bottom of my board so it can rotate such that I can cut the leg out of it? The starting board needs to rotate on its axis (I.e. have the top cut from 90 degrees to something else).

Starting board is 4.5in wide by 25in tall Desired tapered leg is 4 in wide at bottom, tapering down to 2 in wide at bottom. From bottom to top, 18” tall. Top right corner angle is 74.5 degrees, top left angle is 99.5 degrees, bottom right angle is 105.5 degrees, and bottom left is 80.5 degrees.

I need help on calculating the maximum and minimum of a function, and Inflection point of this function.

f(x)=Cos^(2) (2x+pi/6)
v
f'(x)= -4cos(2x+pi/6) * sin(2x+pi/6)
v
f''(x)=-8cos(4x+pi/3)

I appreciate if you guys can also teach me how to do it 🥹

I don't understand.

y=2x+1/x-1