S3) Make a code c of length 6 as follows: For each (X,X2, X3)eF code the word(X1, X2, X3, X4, X5, X6) € C whenever Xg = X1 + X2 + X3X; = X1 + X3X6 = X2 + X3A) Show that C is linear.B) Find a productive matrix for C.

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Make a code c of length 6 as follows: For each (X,X2, X3)eF code the word (X1, X2, X3, X4, X5, X6) € C whenever Xg = X1 + X2 + X3 X5 = X1 + X3 X6 = X2 + X3 A) Show that C is linear. B) Find a productive matrix for C.

Make a code c of length 6 as follows: For each (X,X2, X3)eF code the word (X1, X2, X3, X4, X5, X6) € C whenever Xg = X1 + X2 + X3 X5 = X1 + X3 X6 = X2 + X3 A) Show that C is linear. B) Find a productive matrix for C.

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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%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…