Recent content by fredrogers3

Hello everyone, I have a theoretical question on subspaces. Consider the space Rn. The zero vector is indeed a subspace of Rn. However, if I am not mistaken, the zero vector has no orthonormal basis, even though it is a subspace. I thought all subspaces have an orthonormal basis (or is it...

I have W3=-1 and W6=1, so these two equal their own reciprocal. Is that what the question is asking? I seem to have completely misunderstood the question.

Homework Statement Hello everyone, In this problem, I was to mark all the sixth roots of 1 in the complex plane. Then, I was to figure out what the primitive root W6 is. However, I am stuck by the question: "Which power of W6 is equal to 1/W6?" Homework Equations See Below The Attempt at a...

Thank you for the help! Just to clarify, would the correct matrix of transformation for the 4th equation be [1 -2]?

Homework Statement Hello everyone, I have a quick question about linear transformations. In my class, we were given transformation functions and asked to decide if they are linear: The transformation defined by: T(X)= X1+X2+3 The transformation defined by: T(X)=X1+X2+(X1*X2) The...

Homework Statement Hello everyone, I have a question from a practice exam I can't seem to figure out. 1. A Ca atom (atomic number = 20) is in the ground state. Light is shined on the atom, exciting the most energetic electron. Which of the following are possible quantum numbers (n,l,m) of...

Homework Statement Present is a wavefunction of a particle in a 1-dimensional well. Choose the correct potential that could result in this wave function: Homework Equations See belowThe Attempt at a Solution I want to make sure I am analyzing this correctly. I think the correct answer here...

Hello, I have a quick question of clarification on convex mirrors. If I have a single convex mirror, is it ever possible that image distance is greater than focal length? Let's assume we are dealing with a real object. Thanks

Homework Statement I have a general question concerning circuits. I am a bit confused as to how to determine when the current is negative. For instance, on circuit diagrams, we are shown arrows that indicate the positive direction of current. Then, when we open the switch on the circuit...

Hello, I have a quick question about integrals of dot products. We are learning about magnetic flux as the integral of b dot da. However, what circumstances must be present where we can simplify this integral into (b*a) and ignore the integral?

Homework Statement An infinite straight wire carries a current I that varies with time as shown above. It increases from 0 at t = 0 to a maximum value I1 = 3.7 A at t = t1 = 14 s, remains constant at this value until t = t2 when it decreases linearly to a value I4 = -3.7 A at t = t4 = 30 s...

Homework Statement The second picture contains the problem statement. I am having a bit of trouble drawing the graphs asked for. Homework Equations See below The Attempt at a Solution I have drawn what I think is correct. In the first graph, I show the flux of the cart must...

Homework Statement I have found a picture of the diagram here: http://imageshack.us/a/img850/3364/imageacm.jpg The first question asks the following: Once the suspended magnet has aligned itself with the magnetic field, which of its poles points in the same direction as the external field...

I would like to ask something about the diagram. How does one know that the left side of the "square region" has a total length "r?"

Homework Statement My question is one of clarification about electric potential. Homework Equations See Below The Attempt at a Solution I understand that when electric potential is defined at infinity to be zero for a series of point charges, the potential is simply kq/r. My...