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Given M = [[-2,6],[1,3]], find P and D such that M = PDP^(-1) where D is a diagonal matrix

We are given M = [[-2,6],[1,3]], with columns [-2,6] and [1,3]. To find P and D, eigenvalues and eigenvectors must be calculated, as D is defined to be the matrix whose diagonal is comprised of the eigenvalu...
HR
3730 Views

integrate from 0 to 2: 2x*sqrt(x+2) dx

There are a few ways to go about this question. I will do a substitution using u=(x+2) 1/2 . From this equation we need to find x in terms of u, the new limits of the integral and dx in terms of du. By rearr...
TW
Answered by Tom W. • Maths tutor
12645 Views

Explain the meaning of the subjunctive mood and give some examples of when it is used

The subjunctive mood in French is deployed where a particular utterance indicates a certain attitude or opinion on behalf of the speaker. The subjunctive mood is deployed mostly in situations of doubt or unc...
RM
Answered by Rosie M. • French tutor
3736 Views

What are the differences between directional and stabilising selection? Give an example of each.

In directional (a.k.a. adaptive) selection, one extreme of a population has a selective advantage i.e. is fitter than other individuals of the population. This causes a directional shift towards this extreme...
BS
Answered by Ben S. • Biology tutor
5579 Views

Est-ce que vous pensez que les réseaux sociaux jouent un rôle positif ou négatif de nos jours ?

D’un côté, on peut dire que les réseaux sociaux, tel que Facebook, nous offrent plein de bienfaits. Premièrement, grâce à eux, on peut soutenir le contact facilement avec la famille et les amis qui ne vivent...
DD
Answered by Daniel D. • French tutor
2282 Views