Recent content by Mano Jow

Thanks a lot, really helped!

Ok, so for the first one there's no way I can find m so the system will have infinitely many solutions? Edit: For the second, I did the following: 1. multiplied the first line by -2 and added to the second; 2. multiplied the second line by \frac{1}{k-4} So I got: x + 2y + kz = 1 0x +...

Well, I know that if det A = 0 means the two slopes are equal, but they can be parallel or identical. I want them to be identical so the system will have infinitely many solutions. I have the following equations: y = 4 - \frac{m}{3}x y = 10 - 4x For the slopes to be identical...

Ok, let me see if I'm doing right. For the first one let A be the coeficient matrix: A = \left(\begin{array}{cc}m&3\\2&\frac{1}{2}\end{array}\right) so det(A) = \frac{m}{2} - 6 Ax = \left(\begin{array}{cc}m&12\\2&5\end{array}\right) and Ay =...

I see. But if I post it'll be ok, right? Thanks!

Hello, I've been trying to use LaTeX to post a matrix but didn't succeed. Here's the code I have: A = \left(\begin{array}{cc}m&3\\2&1/2\end{array}\right) But when I put it between [ tex ][ /tex ] (without spaces) I get a '=>'. But here it's working, see A =...

Homework Statement Exercise 1: For what value of m will the following system of linear equations have infinitely many solutions? mx + 3y = 12 2x + (1/2)y = 5 Exercise 2: For what value of k will the following system of linear equations x + 2y + kz = 1 2x + ky + 8z = 3 have a) unique...

Thanks a lot for the fast reply!

Hello there, I'm having some problems with a proof-like exercise on linear algebra. Here's what I'm supposed to do: Homework Statement Determine whether each of the given sets is a real linear space, if addition and multiplication by real scalars are defined in the usual way. For those...

Now I got it! Thanks a lot everyone for your help!

Sorry, I misspelled the word. df/dx = 2 and df/dy = -1, and they are continuous in R²... right?

Perhaps I figured that out for the second one: I should find the partial derivative of the function using limits when x and y tend to 0? Yet the first one isn't very clear to me...

But how can I find this (x_0, y_0) when the exercise asks if its differentiable in R²? For the second function, I can also say that the domain is all the circunferences with a radius bigger than 0... does it helps in anything? Thanks.

For the first one, the domain is R², right? And for the second, as there is no log of numbers equal or below zero, we have that x²+y²>0. Isn't that right? The teacher told us to use a certain book to study, but this is not there... Thanks again.

Uhmmm the question is: "Verify if each function is differentiable at the points of its domain." a)f(x,y) = 2x - y b)f(x,y) = ln(2x²+3y²)