Recent content by MozAngeles

i was using the definition from by book for kernel space. Being that the initial prob stated it was a linear transformation I used the definition: Ker(T)= {v element of V: T(v)=0) which in words is If T: V--> W is any linear transformation, there is an associated homogeneous linear vector...

If my thinking is correct... {(0,0,0,0,1)} represents the set of vectors that are an element of P4 such that the linear transformation of these vectors, in P4, is a homogeneous equation

I realize where i went wrong and found my kernel to be (0,0,0,0,1) , which then the rest makes sense

Homework Statement Let T: P4--->P3 be a linear transformation given by T(p)=p'. What is the kernel of T? Homework EquationsThe Attempt at a Solution T(a0+a1+a2x2+a3x3+a4x4)=a1+2a2x+3a3x2+4a4x3 Ker(T)= { T(p)=0} so, a1+2a2x+3a3x2+4a4x3=0 then a1=2a2x+3a3x2+4a4x3 Ker(T)= { (-2,1,0,0)...

Ok, I'm seeing it clearer now. Thank you

but even still for my set of {v1-v2,v2-v1...} the c1=c2=c3 are all equall and I had set my equations to equal zero, then the only way this will be true is if they all equal zero, right?

from my set of equations i concluded that c1=c2=c3. So then I had made the assumption that c1=c2=c3 was zero because from the given set v1, v2, v3 being linearly indepedent, which would mean that c1v1+c2v2+c3v3=0 must have c1=c2=c3 from the definition of linear dependence. I assumed they were...

Homework Statement Let(v1, v2, v3) be three linearly independent vectors in a vector space V. Is the set {v1-v2, v2-v3, v3-v1} linearly dependent or independent? Homework Equations Linearly independent is when c1v1+c2v2+...+ckvk=0 and c1=c2=...ck=0 The Attempt at a Solution c1(v1-v2)+...

So I've been thinking about how the magnetic fields from the Earth create a magnetic mirror which accelerates the the particles in the atmosphere causing them to ionize and thus produce the auroras we see. But it is curious to me that they can only be seen in the upper most northern and southern...

Hi there, So I have a tricky situation. I've recently graduated with a psychology degree but I've been going back to school to pursue a higher education in physics so far its going well. But my current job situation is absolutely nothing related to the field (just something to pay those schools...

Hello, So i just turned 24 and graduated last spring with a degree in psychology and was premed. I started at community college and did really well there, but once I transferred to university I fell upon some bad habits and other limiting issues. My cumulative GPA turned out to be 3.3 between...

Homework Statement The polonium isotope 210Po, an alpha emitter, has a half-life of 138.38 days. You happen to have a 1.5 g cube of 210Po, so you decide to use it to boil water for tea. You fill a well-insulated container with 120 mL of water at 18° C and drop in the cube of polonium. (a)...

i couldn't get a picture but that is how the sphere looks with a radius of six and the cone is just the top half as looking as any cone would look

ρ is the distance from P to the origin ∅ is the angle that the line makes with the positive x axis θ is the angle from the cylindrical coordinates (0<θ<2pi) i know that the equation for a sphere is when ρ= constant, in this case she told us it was cos∅

Homework Statement Set up the triple integral for the volume of the given solid using spherical coordinates: The solid bounded below by the sphere ρ=6cosθ and above by the cone z=sqrt(x2+y2) Homework Equations The Attempt at a Solution I thought i had this set up right where ρ...