Given the following vectors:| v =< 1,4,5 >, v =< 3, 1,6 >, and v3 =< -2, 1, -2 > Perform the indicated operations to find R, and R2. R = 3v, + 2v – 5v; and R2 = 2v, + 4vz – 6v3 Find the constants €1, ©z and c3such that v = c,vj + CzVz + c3V3 given that v=< 4, 8, 1 >
Given the following vectors:| v =< 1,4,5 >, v =< 3, 1,6 >, and v3 =< -2, 1, -2 > Perform the indicated operations to find R, and R2. R = 3v, + 2v – 5v; and R2 = 2v, + 4vz – 6v3 Find the constants €1, ©z and c3such that v = c,vj + CzVz + c3V3 given that v=< 4, 8, 1 >
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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1% Given the following vectors: (Encode as column vectors)
v1 -
3 v2 -
4 v3 -
5 XPerform the indicated operations to find R1 and R2.
6 R1 -
7 R2 -
8 XFind the constants c1,c2 and c3 such that v- civ1+c2v2+c3v3 given that v-c4 8 1>
9 ZAugment the vectors v1, v2 and v3 to form matrix A
10 A-
11 v -
12 KAugment A and v and express as reduced row echelon form.
13 Av -
14 rrefAv -
15 XExtract the column matrix and the remaining matrix
16 Root -
17 AL -
18 if AL -- eye(size(AL))
ci - Root (1)
c2 - Root (2)
c3 - Root (3)
19
20
21
22 else
display("No Roots Found")
ci - NaN;
c2 = NaN;
23
24
25
26
c3 - NaN;
27 end
Transcribed Image Text:Given the following vectors:
v =< 1,4,5 >, v =< 3, 1,6 >, and v3 =< -2, 1, –2 >
Perform the indicated operations to find R, and R2.
R1 = 3v1 + 2v2 – 5v3 and R, = 2v, + 4v2 – 6v3
Find the constants c1, c2 and c3such that v = cvj + czv2 + C3V3 given that
v=< 4, 8, 1 >
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