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![Linear Combination<br>My Solutions ><br>Given the following vectors:<br>v =< 1,4,5 >, v =< 3,1,6 >, and vy =<-2,1,-2><br>Perform the indicated operations to find R, and Ry.<br>R, = 3v, + 2v, – 5v, and R, = 2v, + 4v - 6v,<br>Find the constants c,C2 and e;such that v= cv + cv2 + c3v; given that v =< 4,8,1 ><br>Script e<br>H Save<br>C Reset I MATLAB Documentation<br>1 % Given the following vectors: (Encode as column vectors)<br>2 vi - [1; 4; 5]<br>3 v2 - [3; 1; 6]<br>[-2; 1; -2]<br>4 v3 =<br>5 XPerform the indicated operations to find R1 and R2.<br>6 R1 = 3*v1 + 2](https://s3.us-east-1.amazonaws.com/storage.unifolks.com/qimg-008/008_yzbxzz0-chlhzrdm.jpeg)
9 A = [v1, v2, v3]; 10 v - [4,8,1]; 11 %Augment the vectors v1,v2 and v3 to form matrix A 12 A = [v1, v2, v3]; 13 v- [4, 8, 1]; 14 XAugment A and v and express as reduced row echelon form. 15 Av = [A;v]; % make the augment matrix 16 Ans = rref(Av); %row reduced Av 17 ZExtract the column matrix and the remaining matrix 18 Root = rrefAv(:, end) 19 AL = rrefav(:,1:end-1) 20 if AL eye(size(AL)) 21 c1 = Root (1) 22 c2 - Root (2) 23 c3 - Root (3) 24 else 25 display("No Roots Found") 26 c1 = NaN; 27 c2 = NaN; 28 c3 - NaN; 29 end 30 Xverify v value 31 V = c1*v1+c2*v2+c3*v3 "/>
Extracted text: Linear Combination My Solutions > Given the following vectors: v =< 1,4,5="">, v =< 3,1,6="">, and vy =<-2,1,-2> Perform the indicated operations to find R, and Ry. R, = 3v, + 2v, – 5v, and R, = 2v, + 4v - 6v, Find the constants c,C2 and e;such that v= cv + cv2 + c3v; given that v =< 4,8,1=""> Script e H Save C Reset I MATLAB Documentation 1 % Given the following vectors: (Encode as column vectors) 2 vi - [1; 4; 5] 3 v2 - [3; 1; 6] [-2; 1; -2] 4 v3 = 5 XPerform the indicated operations to find R1 and R2. 6 R1 = 3*v1 + 2"v2 - 5"v3 % compute R1 7 R2 = 2"v1 + 4"v2 - 6"v3 % compute R2 8 XFind the constants c1,c2 and c3 such that v= civi+c2v2+c3v3 given that v=<4 8="" 1=""> 9 A = [v1, v2, v3]; 10 v - [4,8,1]; 11 %Augment the vectors v1,v2 and v3 to form matrix A 12 A = [v1, v2, v3]; 13 v- [4, 8, 1]; 14 XAugment A and v and express as reduced row echelon form. 15 Av = [A;v]; % make the augment matrix 16 Ans = rref(Av); %row reduced Av 17 ZExtract the column matrix and the remaining matrix 18 Root = rrefAv(:, end) 19 AL = rrefav(:,1:end-1) 20 if AL eye(size(AL)) 21 c1 = Root (1) 22 c2 - Root (2) 23 c3 - Root (3) 24 else 25 display("No Roots Found") 26 c1 = NaN; 27 c2 = NaN; 28 c3 - NaN; 29 end 30 Xverify v value 31 V = c1*v1+c2*v2+c3*v3