Can anyone help me? this topic is about geometry transformation, so i think V is defined as euclides plane.
Can anyone help me? this topic is about geometry transformation, so i think V is defined...
please help me with questions 1,2,3
1. Let V be a 2-dimensional vector space with basis X = {v1, v2}, write down the matrices [0]xx and [id]xx. 2. Let U, V, W be vector spaces and S:U +V, T:V + W be linear transforma- tions. Define the composition TOS:U + W by To S(u) = T(S(u)) for all u in U. a. Show that ToS is a linear transformation. b. Now suppose U is 1-dimensional with basis X {41}, V...
Let V = P1(R) and W = R2. Let B = (1,x) and y=((1,0), (0, 1)) be the standard ordered bases for V and W respectively. Define a linear map T:V + W by T(P(x)) = (p(0) – 2p(1), p(0) + p'(0)). (a) Let FEW* be defined by f(a,b) = a – 26. Compute T*(f). (b) Compute [T]y,ß and (T*]*,y* using the definition of the matrix of a linear transformation.
Determine whether or not the following transformation T :V + W is a linear transformation. If T is not a linear transformation, provide a counter example. If it is, then: (i) find the nullspace N(T) and nullity of T, (ii) find the range R(T) and rank of T, (iii) determine if T is one-to-one, (iv) determine if T is onto. : (a) T: R3 + R2 defined by T(x, y, z) = (2x, y, z) (b) T: R2 + R2...
I'm stuck on a probability problem, could anyone do me a favor?
Many thanks!
Let X be a continuous real-valued random variable on a probability space (2,F, P with characteristic function φ, and let K > 0, Show that 1/K Hint: use that sinw) -T ifly22
Wow.. I spend 5hous to understand these problems but cant..
anyone help me?
Can anyone solve these question and explain why the answer is
open or closed or connected or interior boundary?
I have all the answers but I dont understand why.. it is open..
so can anyone explain WHY? Thx!!
For each of the sets in Exercises 1 to 8, (a) describe the interior and the boundary, (b) state whether the set is open or closed or neither open...
(3) Consider f: R3- R3 defined by (u,, w)-f(r, y, :) where u=x w = 3~. Let A = {1 < x < 2, 0 < xy < 2, 0 < z < 1). Write down (i) the derivative Df as a matrix (ii) the Jacobian determinant, (ii) sketch A in (x, y. :)-space, and iv) sketch f(A) in (u. v, w)-space.
410. [V] The transformation T.1.1: R3 R3, Tk,1,1 (u, v, w) = (x, y, z) of the form x = ku, y = 0, z = w, wherek #1 is a positive real number, is called a stretch if k > 1 and a compression if 0 <k < 1 in the x-direction. Use a CAS to evaluate the integral e-(4x2+9y?+252) dx dy dz on the solid S = {(x, y, z)|4x² +9y2 + 25z< 1} by considering the compression...
х 0<I< 3. The tent function is defined by T(x) = 1 - < x < 1 2 otherwise (a) Express T(2) in terms of the Heaviside function. (b) Find the Laplace transform of T(x). (c) Solve the differential equation y" – y=T(x), y(0) = y'(0) = 0
Can anyone help me to solve this question
on Quantum Mechanics about Schrodinger equation please?
1. (a) From the definitions of probability density and flux, P(x,t) = 4*(x,t){(x,t) (:9 = 2 show that ƏP(x,t) at @j(x,t) Ox GP(x,t) for a particle satisfying the Schrodinger equation iħ – I hº o°F(x,t). ?+V(x)*(x,t) am Ox? at provided that the potential V(x) is real..
PLEASE GIVE A DETAILED EXPLANATION. I NEED HELP UNDERSTANDING
THE APPROACH YOU TOOK. THANK YOU. Please explain every step you
tak
5. Let T R3 > R3 be the linear transform defined by the following properties: T(0,0,1) = (0,0,0), If v is in the ry-plane, then v is reflected across the x + y = 0 plane There is a matrix A such that T(x) = Ax. The goal of this problem is to understand A. (a) (3 points) Find...