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 =...
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...
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...
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.
What you mean by "total differentiability"? I thought that when derivating a function with multiple variables I should diferentiate it for x and then for y.
For a function of one argument to be differentiable it needs to be countinous in its domain?
I see. I googled for it and found this:
http://www-mtl.mit.edu/~anantha/docs/journals/2001_meninger_vlsi.pdf [Broken]
But it talks about that MEMS technology, which I'm not familiar with. Is that expensive? Because we are supposed to create a low-cost engine. Can I do it without spending...
That's a nice idea... but I think we are going to be evaluated separately... I heard something about using plants, do you lnow this way?
The professor said nothing about the scale, but I think that if we can light up a lamp it's enough.
What is "omnidirectional acceleration"? I know the...
Hello there,
I'm new in this forum so sorry if this is not the right session to post my question.
Well I'm taking a subject called Energy: Origins, Conversion and Uses (I guess this is the correct translation) and I need to do a final project which requires me to generate electrical...