I'm getting ready to register for classes for the fall. To make a long story short, I might have to take another math class to satisfy a degree requirement, rather than a computer science class.
I'm taking Linear Algebra right now. I enjoy it, and it seems to have a lot of practical...
But how do I know that there isn't a scalar that would change X in such a way that (cX)A ≠ A(cX)?
Edit: I guess I get what you're saying now, but it still confuses me how I can just say that they're equal with no real evidence.
Homework Statement
A is a 2 x 2 matrix. Prove that the set W = {X: XA = AX} is a subspace of M2,2Homework Equations
The Attempt at a Solution
I have already proven non-emptiness and vector addition.
Non-emptiness:
W must be non-empty because the identity matrix I is an element of W.
IA = AI
A...
Thanks, I've got it now too, but how am I supposed to know when to subtract the width/height from x without looking at a graph?
I just did a very similar problem (y = 8 - x^3), subtracted from x for the height, and got the wrong answer. I got the right answer when I didn't subtract h from x...
Homework Statement
y = x^(1/3) - 2
Find volume across the x-axis on 8 <= x <= 27 using the Method of Shells
Homework Equations
V = 2pi * Integral(r * h) from a -> b
The Attempt at a Solution
Let x = (y + 2)^3
Let h = (y +2)^3 // Set height
Let r = y // Set...