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Leave it up to unsw to put something in the exam thats not taught... Suppose a linear transformation has v_1 and v_2 as eigenvectors and 2 and -1 eigenvalues respectively. Why does taking the transformation of an eigenvector give me eigenvector x eigenvalue ?

Okay I see my mistake... I need sleep sorry if you typed out a solution and thanks so much

Thats not the final integral :P Im talking about when you apply IBP twice

Yes I know that but after simplification you end up with the integral i said

The answers say E(T^2) = 2/lambda^2 of a exponential distribution ? Shouldn't the answer be 2/lambda ? clearly the integral of 2xe^(lambda*x) = 2/ lambda ? the answers said thats equal to 2/lambda^2

How would you do it without the formula ? find E(y^2) and E(y) ? How do you even find E(y^2) y = 2X + 3 y^2 = 4X^2 + 12X + 9 E(y^2) = E(4X^2 + 12X + 9) ?

is there any other way to find variance besides the E(x^2) -(E(x))^2 way ? Like lets say you have Y = 2X + 3

Have you done discrete maths and maths 1b ?

Question : Is E(1/(x+1)) the same thing as 1/(E(x) + 1) ? How about E(1/(x^2 - x +1)) = 1/(E(x^2) - E(x) + 1) ?

There's another formula called the normal distribution probability density function is that pretty much the same thing?

I was always seeing Bin had no idea what it meant ahahah thanks Integrand!

Re: Extracurricular Integration Marathon And I still don't know

Re: Extracurricular Integration Marathon Took you 17...

Re: Discrete Maths Sem 2 2016 n!/n^n ?

Re: Discrete Maths Sem 2 2016 $ Suppose $ \log_n m = \frac{a}{b} $ where a,b $ \in \mathbb{R}. $ This implies that $ m^b = n^a \therefore m = a^{\frac{a}{b}} = a^k $ as $ \frac{a}{b} \in \mathbb{Q}. $ Consider the converse. $ m = n^k $ Since k $ \in \mathbb{Q} $ that means it can...

What is normal approximation and what is the formula ?

Alphabetic progression.

Okay that makes sense.. so it was just a coincidence that each quarter of the matrix was made of each basis matrix's transpose ?

Sorry I can't find it anywhere in my notes... Why does the transpose of each matrix make up the rows and columns of B ?

The matrix the answers is 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 ?