%Encode A1, b1 and x1 as the vector of unknowns. A1 = b1 = syms xv1 = %Check the size of A, set it as m1 and n1 [m1,n1] = %Augment A and b to form AM1 AM1 = %Solve the Reduced Rwo Echelon of AM1. RREFA1 = %Collect the last column and set as bnew1, set the remaining elements as Anew1 bnew1= Anew1 = %Check if Anew is an identity matrix, if it is, bnew is the solution if Anew1 =eye(m1,n1) Root1 = bnew1 else display("No Solution") end %Augment the matrix A1 with the identity Matrix of the same size, set the result as AMI1 AMI1 = %Find the reduced row echelon form of AMI1, set the result as RREFAI1 RREFAI1= %Collect the second half of the matrix as AInew1, set the remaining elements as AIold1 AInew1= AIold1 = %Check if AIold1 is an identity matrix, if it is, AInew1 is the inverse %Encode A2, b2 and xv2 as the vector of unknowns. A2 = b2 = syms xv2 = %Check the size of A2, set it as m2 and n2 [m2,n2] = %Augment A2 and b2 to form AM2 AM2 = %Solve the Reduced Rwo Echelon of AM2. RREFA2 = %Collect the last column and set as bnew2, set the remaining elements as Anew2 bnew2= Anew2 = %Check if Anew is an identity matrix, if it is, bnew2 is the solution if Anew1 =eye(m2,n2) Root2 = bnew2 else display("No Solution") end %Augment the matrix A2 with the identity Matrix of the same size, set the result as AMI2 AMI2 = %Find the reduced row echelon form of AMI2, set the result as RREFAI2 RREFAI2= %Collect the second half of the matrix as AInew2, set the remaining elements as AIold2 AInew2= AIold2 = %Check if AIold2 is an identity matrix, if it is, AInew2 is the inverse

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter12: Points, Classes, Virtual Functions And Abstract Classes

Section: Chapter Questions

Problem 29SA

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Question

%Encode A1, b1 and x1 as the vector of unknowns.

A1 =

b1 =

syms

xv1 =

%Check the size of A, set it as m1 and n1

[m1,n1] =

%Augment A and b to form AM1

AM1 =

%Solve the Reduced Rwo Echelon of AM1.

RREFA1 =

%Collect the last column and set as bnew1, set the remaining elements as Anew1

bnew1=

Anew1 =

%Check if Anew is an identity matrix, if it is, bnew is the solution

if Anew1 =eye(m1,n1)

Root1 = bnew1

else

display("No Solution")

end

%Augment the matrix A1 with the identity Matrix of the same size, set the result as AMI1

AMI1 =

%Find the reduced row echelon form of AMI1, set the result as RREFAI1

RREFAI1=

%Collect the second half of the matrix as AInew1, set the remaining elements as AIold1

AInew1=

AIold1 =

%Check if AIold1 is an identity matrix, if it is, AInew1 is the inverse

%Encode A2, b2 and xv2 as the vector of unknowns.

A2 =

b2 =

syms

xv2 =

%Check the size of A2, set it as m2 and n2

[m2,n2] =

%Augment A2 and b2 to form AM2

AM2 =

%Solve the Reduced Rwo Echelon of AM2.

RREFA2 =

%Collect the last column and set as bnew2, set the remaining elements as Anew2

bnew2=

Anew2 =

%Check if Anew is an identity matrix, if it is, bnew2 is the solution

if Anew1 =eye(m2,n2)

Root2 = bnew2

else

display("No Solution")

end

%Augment the matrix A2 with the identity Matrix of the same size, set the result as AMI2

AMI2 =

%Find the reduced row echelon form of AMI2, set the result as RREFAI2

RREFAI2=

%Collect the second half of the matrix as AInew2, set the remaining elements as AIold2

AInew2=

AIold2 =

%Check if AIold2 is an identity matrix, if it is, AInew2 is the inverse

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