• Let W = {ax²+bx+c+d € R[x]|a + 2b = 0, c = 2d}. Find a spanning set for W.• Let A=0and define WA={X € M2×2 (R) | AX = XA}. Find a spanning set for WA.• Let W = {(a, b, c, d) = R4 |a +2c= 0, b-d=0}. Find a spanning set for W.

Answered: Image /qna-images/answer/20d20529-a95b-4e8f-87e0-ecc86a34d8bf.jpg

Answered: • Let W = {ax²+bx+c+d €R[x] |a + 2b =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Represent the polyhedron defined by x1+x2>=1 with a minimal set of generators. Thanks !
1.) Create an m-file with the name exercise_2_first_name_last_name. 2.) Use linspace() to create an array of times, call it t, from 0 to 5 with 200 points. 3.) Plug the points in t into the following equations: y, (t) = -4.9t2 + 3t and y,(t) = -4.9t2 + 7t where t is in seconds and y is in meters. These equations represent the heights of two objects thrown directly upward with initial positions y = 0 and initial speeds 3" and 7. 4.) Create a figure showing two graphs with the plot command. Graph one equation as green circles and the other as blue dots. You'll want to add the hold on command before the plot commands. It’ll let you graph more than one set of data points. 5.) Add the following labels using xlabel and ylabel: time (s) and height (m). When we graph quantities with units, we include the units in parenthesis directly after the name of the quantity. The reader must know what units are being plotted since they represent real quantities. 6.) Add the following title: Heights vs.…
Thank you!
(a) (b) S = 5 12 (0·0·000} 1 Is S a spanning set for R¹? Justify your answer. 10 7 Is S linearly independent? Justify your answer.
Consider the following sets V = {v,V1, V2, V3, V4} and a set of vertices A simple graph can be such that d(vo) = 0, d(v1) = 1, d(v2) = 2, d(v3) = 3 and d(v4) = 4, explain why
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If u and v belong to the span of S, so does u+v

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• Let W = {ax²+bx+c+d €R[x] |a + 2b = 0, c = 2d}. Find a spanning set for W. • Let A RJ and define WA = {X € M₂×2(R) | AX = XA}. Find a spanning set for WA. • Let W = {(a, b, c, d) = R4 |a +2c= 0, b-d=0}. Find a spanning set for W.