Hi, this sounds excellent. I've done some searching. Found lots of stories about it, but can't seem to find the PDF. EPA website seems like a maze! If it is not too much, could you give me a link?
Cheers
Homework Statement
Hi,
I just needed help finding a social relevance chemistry topic to write about 1000 words on.
It needs to:
-have lots of gritty chemistry
-be socially relevant today (environmental and economic impacts)
-have two sides to the argument
I'm struggling to...
How would I show that they are Linearly independent.
But part (ii) is :
Suppose {u,v,w,x} is a basis for R4. Show that {u+v,v+w,w+x,x+u} is NOT a basis for R4 So I can't really do it by inspection.
Thanks guys
Homework Statement
Suppose {u,v,w} is a basis for (R3). Show that {u+v,v-w,w-u} is also a basis for (R3).The Attempt at a Solution
By definition, u,v and w are linearly independent and they span (R3).
I really don't know where to go from here though.
Thanks
ATA is n x n
We haven't covered ranks yet
I know that ATA can reduced so that it has one row of zero's hence det=0. But I don't know how to show it in general.
Homework Statement
1) Let A be an n x n matrix with A^2 -4A +5I = 0. Show that n must be even.
2) Let A be an m x n matrix where m<n. Show that det(AT x A) = 0
The Attempt at a Solution
1) (A-2I)^2 +I=0
Not sure what to do after this though
Thanks in advance
Homework Statement
Q1
[|x+2|]=2[|x|]-3
Q2
If f is even and g is odd, is fog even, odd or neither
Homework Equations
The Attempt at a Solution
Q1
Not sure. Can someone please give me a start on this?
I think if I knew some properties of greatest integer functions I could work...
Hey,
Thanks to everyone who has contributed to this thread, its been a good read. I am a Yr 11 Australian student who is really good at maths. In fact, this year I'm doing first year maths at University. I'm not sure about my physics ability since this is my first year doing it. However I...