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Linear Combination Given the following vectors: v =< 1,4,5 >, vz=< 3,1,6 >, and v3=<-2, 1,-2 > Perform the indicated operations to find R, and R2. R = 3v1 + 2v2 – 5v3 and R2= 2v +4v2– 6v3 Find the constants c1, c2 and c3such that v = c¡V1 +c2¥2+€3V3 given that v =< 4,8,1 >

Linear Combination Given the following vectors: v =< 1,4,5 >, vz=< 3,1,6 >, and v3=<-2, 1,-2 > Perform the indicated operations to find R, and R2. R = 3v1 + 2v2 – 5v3 and R2= 2v +4v2– 6v3 Find the constants c1, c2 and c3such that v = c¡V1 +c2¥2+€3V3 given that v =< 4,8,1 >

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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USE MATLAB.

1 % Given the following vectors: (Encode as column vectors) 2 v1 = v2%3= 4 v3 = 5 %Perform the indicated operations to find R1 and R2. 6 R1 = 7 R2 = 8 %Find the constants c1,c2 and c3 such that v= c1v1+c2v2+c3v3 given that v=<4 8 1> 9 %Augment the vectors v1, v2 and v3 to form matriX A 10 A = 11 V = 12 %Augment A and v and express as reduced row echelon form. 13 Av = 14 rrefAv = 15 %Extract the column matrix and the remaining matrix 16 Root = 17 AL = eye (size(AL)) c1 = Root(1) c2 = Root (2) c3 = Root (3) 18 if AL == 19 20 21 22 else display("No Roots Found") c1 = NaN; c2 = NaN; c3 = NaN; 23 24 25 26 27 end
Transcribed Image Text:1 % Given the following vectors: (Encode as column vectors) 2 v1 = v2%3= 4 v3 = 5 %Perform the indicated operations to find R1 and R2. 6 R1 = 7 R2 = 8 %Find the constants c1,c2 and c3 such that v= c1v1+c2v2+c3v3 given that v=<4 8 1> 9 %Augment the vectors v1, v2 and v3 to form matriX A 10 A = 11 V = 12 %Augment A and v and express as reduced row echelon form. 13 Av = 14 rrefAv = 15 %Extract the column matrix and the remaining matrix 16 Root = 17 AL = eye (size(AL)) c1 = Root(1) c2 = Root (2) c3 = Root (3) 18 if AL == 19 20 21 22 else display("No Roots Found") c1 = NaN; c2 = NaN; c3 = NaN; 23 24 25 26 27 end
Linear Combination Given the following vectors: vi =< 1,4,5 >, v2 =< 3, 1,6 >, and v3 =<-2, 1,-2 > Perform the indicated operations to find R and R2. R1 = 3v + 2v3 – 5v3 and R2 = 2v, +4vz – 6v3 Find the constants c1, c2 and c3 such that v = c¡V + c2¥2+ €3V3 given that v =<4,8, 1 >
Transcribed Image Text:Linear Combination Given the following vectors: vi =< 1,4,5 >, v2 =< 3, 1,6 >, and v3 =<-2, 1,-2 > Perform the indicated operations to find R and R2. R1 = 3v + 2v3 – 5v3 and R2 = 2v, +4vz – 6v3 Find the constants c1, c2 and c3 such that v = c¡V + c2¥2+ €3V3 given that v =<4,8, 1 >
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