The set B = = {1-12 1-12.1-2-2) is a basis for P2. Find the coordinate vector...
Q6. The set B = {1+t2, t+t, 1+2t+t2} is a basis for P2. Find the coordinate vector of p(t) = 3+t-6t2 relative to B.
Question 2 (1 point) The set B below is a basis for P2. Find the coordinate vector of p(t) 3+t - 6t relative to B = {1-tt-t,2 – 2t+t} O 7 -3 o co 1 6 O 3 t 6t O 13 -10 Question 3 (2 points) Let A be the matrix defined below. -8 8 -8 1 -9 7 -7 7 4 3 A= 6 -9 4 9 -4 5 -5 5 6 -1 -7 -7 -7 0 Suppose...
Find the coordinate vector Find the coordinate vector [X]e of x relative to the given basis B = {b1,b2,63). [x]8 = (Simplify your answers.)
Find the coordinate vector [x]g of x relative to the given basis B = {by, by, b}. 1 4 1 5 b = 0 bz 1 1 2 5 [x]g - (Simplify your answer.)
Find the coordinate vector [x]B of x relative to the given basis 8-{b1 ,b2} 2 2 2 -14 3 4 [xlB (Simplify your answers.)
Find the coordinate vector [x]g of x relative to the given basis B = {51,b2,b3}: 1 2 2 by = -3 b3 = b -1 x= -5 4 5 4 [x] = (Simplify your answers.)
Prob. 4 (12.5 pts) The set of vectors S = {p1.p2.p3 } may be a basis for P2 p1 = 1 + x + x2 p2 = x + x2 p = x² a) Verify that this is the case. b) If it is a basis, find the coordinate vector of b relative to S. b = 7 - x + 2 x2
Can you help me? This is linear algebra. 3. (6) Let B-(1-3r,x +2x2,1-3x-8x2,2+x-5x2) be the set of vectors in P a) Is the set B a basis for P2? Justify. If it is not a basis for P, then extend B to a basis for P2 Calculator is allowed b) Use the basis found in part (a) to find the coordinate vector of f--1-3x-5x2 Calculator is allowed 3. (6) Let B-(1-3r,x +2x2,1-3x-8x2,2+x-5x2) be the set of vectors in P a)...
Exercise 2 Let B= (Po, P1, P2) be the standard basis for P2 and B= (91,92,93) where: 91 = 1+2,92 = x+r2 and 43 = 2 + x + x2 1. Show that S is a basis for P2. 2. Find the transition matrix PsB 3. Find the transition matrix PB-5 4. Let u=3+ 2.c + 2.ra. Deduce the coordinate vector for u relative to S.
Chapter Find the coordinate matrix of P3x3x-6 relative to the standard basis in P2 Chapter Find the coordinate matrix of P3x3x-6 relative to the standard basis in P2