P3. Define the hyperbolic distance between P and to be dH(P,Q) Ina, where a is defined in P2. Pro...
Let L:P1 --> P2 be a function defined by L(p)=tp + 1. Where p is a linear polynomial in P1. L(t+1)+L(t-1)=? 2t^2 + 2 2t^2 + 3 t^2 + t + 2 3t^2 +t+1
5. Let p and q € P2, and define < p,q >=p(-1)q(-1) + p(0)q(0) +p(1)q(1). (4pts) a. Compute < p,q> where p(t) = 2t – 5t?,q(t) = 4 + t2. (5pts) b. Compute the orthogonal projection of q onto the subspace spanned by p.
Q1. Consider these four points: P [,,5| , P2 = 2], P3 = [H]. Plot these three points. (a) Find the Manhattan distance between Pi and P2 (b) Find the Manhattan distance between P1 and P3. (e) Find the Manhattan distance between P2 and P3. Q2. Consider the same points in Q1 and find the Euclidean distances between the points specified in parts (a), (b), and (e). In other words, you will be doing the above question again but now...
Let V P2(R) and let T V-V be a linear transformation defined by T(p)-q, where (x)(r p (r Let B = {x, 1 + x2, 2x-1} be a basis of V. Compute [TIB,B, and deduce if it is eigenvectors basis of
2. Are the following valid distance functions between pixel p [pz, ^^] and pixel q [q, qyl. Prove your answers D(p, q) — р. + qr + Py + qy D(p, q) pr r + Py.qy D(p, q) 3D Р-Ру + qr-4y 2. Are the following valid distance functions between pixel p [pz, ^^] and pixel q [q, qyl. Prove your answers D(p, q) — р. + qr + Py + qy D(p, q) pr r + Py.qy D(p, q)...
Let p, (t) 6+t, P2(t) =t-3t, p3 (t) = 1 +t-2t. Complete parts (a) and (b) below. Use coordinate vectors to show that these polynomials form a basis for P2. What are the coordinate vectors corresponding to p, p2, and pa? P- Place these coordinate vectors into the columns fa matrix A. What can be said about the matrix A? O A. The matrix A forms a basis for R3 by the Invertible Matrix Theorem because all square matrices are...
where P and Q are constants. 2). The distance x a particle travels in time t is given by x= Pr + Dimensions of P and Q, respectively are: A). LT? & ['T B). L’T& ['T C). LT- & LT D ). LT? & LT
could u help me for this question?thanku!! 21. Let T be a linear transformation from P2 into P3 over R defined by T(p(x)) xp(x). (a) Find [T]B.A the matrix of T relative to the bases A = {1-x, l-x2,x) and B={1,1+x, 1 +x+12, 1-x3}. (b) Use [TlB. A to find a basis for the range of T. (c) Use TB.A to find a basis for the kernel of T. (d) State the rank and nullity of T. 21. Let T...
Air flows from a reservoir where P 300 kPa and T 500 K through a throat to section 1 in Fig. 3.4, where there is a normal shock wave. Compute (a) Pi (b) P2 (c) Po2 (d) A 2 (e) Po3 (f)A* (g) P3 (h) To3 Air Reservoir Po 300 kPa 12 13 T01-500 K | Shock P100 psia Air flows from a reservoir where P 300 kPa and T 500 K through a throat to section 1 in Fig....
Projectile Kinematics Kinematic Eqn. 2 Dimensions P0 P1 r(t) = (%sina):-2gt2 P2 P3 gy P3 16 The solution path presented in the previous question is one way to find the answer. It breaks the projectile motion of the luggage into pieces and uses the fundamental kinematic equations to find intermediate quantities that then lead to the answer. There is another (more direct) solution path. Considering all the given quantities: v, h, and e, what ONE equation can be used to...