Homework Statement
If I have the characteristic equation:
-λ3 + 3λ2 + 9λ + 5
And I'm told that one of its eigenvalues is -1.
How do I find the rest of the eigenvalues?
Homework Equations
-λ3 + 3λ2 + 9λ + 5
The Attempt at a Solution
The furthest I can get is:
-λ3 + 3λ2 + 9λ + 5 = (λ + 1) x...
Homework Statement
I'm having problems figuring out the difference between a coil and a solenoid. My book provides two equations for magnetic field, and they are similar, but one depends on the radius (coil) while the other depends on the length (solenoid).
Homework Equations
Bcoil = μNI/2a...
So what makes
e0(x)=1 and not e0(x)=x? If the order of the vectors in the Basis changed, how would I know that e0(x)=1? . Also, why are the others always zero?
How do you know which ax corresponds to the input? For T(1), you set a0 =1 and for T(t) you set a1 = 1. I don't think it could be the order in which it appears in B, because B is just a set of vectors and the order shouldn't matter.
Homework Statement
T(a0 + a1t+a2t2) = 3a0 + (5a0 - 2a1)t + (4a1 + a2)t2
Find the image of the vectors :
1. 1
2. t
3. t2
Homework Equations
T(a0 + a1t+a2t2) = 3a0 + (5a0 - 2a1)t + (4a1 + a2)t2
The Attempt at a Solution
I don't know how my book solves these transformations, but the answers are...
Assume the mapping T: P2 -> P2 defined by:
T(a0 + a1t+a2t2) = 3a0 + (5a0 - 2a1)t + (4a1 + a2)t2
is linear.Find the matrix representation of T relative to the basis B = {1,t,t2}
My book says to first compute the images of the basis vector. This is the point where I'm stuck at because I'm not...
Homework Statement
I'm having trouble figuring out if a solid is a molecular solid or network covalent solid.
Classify the following as a network covalent solid or a molecular solid:
1. CO2
2. SiO2
Homework Equations
Molecular solid held together by intermolecular forces
Covalent network...
Homework Statement
http://imgur.com/6Cds4YF
What will the ammeter read when the switch is closed?Homework Equations
V = IR
The Attempt at a Solution
I already calculated the emf of the battery one the left to be about 27 V.
It seems that the answer to the question is as simple as using V =...
Homework Statement
Suppose 200 mg of PbCl2 was added to 15.0 mL of water in a flask, and the solution was allowed to reach equilibrium at 20.0 C. Some solute remained at the bottom of the flask after equilibrium, and the solution was filtered to collect the remaining PbCl2, which had a mass of...
Doesn't something prevent the electrons from moving from the positive terminal to the negative terminal? If not, how would the two terminals have opposite charges to begin with?
I need some clarification on batteries and capacitors.
Before a battery is connected to a capacitor, the capacitor is uncharged. When a battery is connected, an electron from one conductor moves toward the positive terminal of the battery, leaving this conductor positively charged. What causes...
I'm trying to learn column space currently and I'm confused about the meaning of rows and columns.
So I'm given this definition for column space:
"The column space of matrix A is the set Col A of all linear combinations of the columns of A"
Given the matrix A:
[ 1 -3 -4 ]
[ -4 6 -2 ]
[ -3 7...
Sorry, I didn't mean right when the battery is disconnected. I meant to say after the battery is disconnected and the wires are connected. At this point the potential difference decreases from 120V of the original capacitor to 80V for both capacitors. Is potential difference always the same on...
Here is the problem and solution:
http://imgur.com/q6adfLv
They mention that because the capacitors are parallel, they have the same potential difference. I can't seem to figure out how that conclusion can be drawn from the information given and from the information that was provided in this post.
My book doesn't mention current until the next chapter. I just finished reading up on charging uncharged capacitors. I'm not sure what happens when the two capacitors are connected by the wire after the battery is removed. I'm assuming the excess electrons from the charges capacitors flow to the...