Recent content by Dosmascerveza

I just looked at it for a while and just when i was about to give up and cheat i thought let's look at this thing as 3 pieces and then boom 150 popped into my head. I fail at math.

Or perhaps you could argue that every orthonormal set contains vectors which are orthogonal with each other and this set is also a basis. Every basis is linearly independent. ==> every orthonormal set is L.I.

Well thanks Hurkyl! I will approach him with your assertion and we will go from there. I hope pressing for some deeper answers won't adversely affect my grade.

I heard him correctly. He made no mention of the empty set. He may have taken some "liberties" to keep it simple for the country-folk.

So you say dim[{o}]=0 because you've defined it that way. So the definition of dimension is different for the zero subspace than for every other V space? But how can there be two definitions of dimension be used in the same sense?

In other words, why is dim[{0}]=0. My math professor explained that since the 0 vector is just a POINT in R2 that the zero subspace doesn't have a basis and therefore has dimension zero. This is not satisfactory. For example, I know R2 has a dimension 2, P_n has dimension n+1, M_(2,2) has...

another proof... problem statement. prove if A and B are idempotent and AB==BA then AB is idempotent. AB==BA ==> A^(-1), B^(-1) exist Since A and B are idempotent invertible matrices, from previously proven theorem, we know A=I and B=I. and since II==I ==> AB==I Therefore AB==BA and AB...

Okay so if i stated A an invertible nxn matrix =/= I_n s.t A^(2)==A(idempotent)... truncating the last bit of foolishness. I was correct?

Homework Statement If A is an invertible idempotent matrix, then A must be the Identity matrix I_n.Homework Equations A^2==A ; A^2==AA; A^(-1); I==A^(-1)The Attempt at a Solution Suppose A is an nxn matrix =/= I_n. s.t. A^(2)==A so A^(2)==A ==> AA==A ==> A^(-1)AA==A^(-1)A ==> A==I==>...

In a DC circuit charges flow in the opposite direction to the electric field. Is the difference in potential energy over two points b and a of a point charge due to the source charge of this field defined as voltage?

you can integrate the function dE=kdQ/(r^2). dQ=lambda dy where lambda is the linear charge density Q/a where a is the length of the line of charge. and you find the y component by multiplying by the unit vector sin(phi) where phi is the angle between the x-axis and r where r is the distance...

Imagine you have a 3x3 matrix -3 2 4 0 0 -3 0 -3 0 Ok find the determinant... ...If you took more than 10 seconds to find the determinant then you probably don't know linear algebra... my solution ... R2<->R3 factor out a -3(3) and notice matrix is triangular. It follows that det A is...

From what I understand centripetal acceleration is the type of acceleration that causes circular motion. For example of you swing a yo yo around your head the direction is constantly changing and therefore so is the velocity, if the velocity is changing then the yoyo has an acceleration. Now as...

1) a) realize that if the velocity of the elevator is constant ,then you know from Newton's first law that the net force acting on the elevator is zero. If this net force is zero then the normal force exerted upward on you by the scale is _________ to the downward force you exert on the scale...

notice i used this method A ==> B, not B ==> not A