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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.4: Similarity And Diagonalization

Problem 50EQ

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Question

2.

For an irreducible polynomial
p(X) = 1+X +X³ € F2[X]
consider Fs generated by p(X). Fill the blanks
so that the matrix is a generator matrix of CRS (8, 3)
over Fg.
[100] [100] [100] [100] [100] [100] [100] [100]
[010] [110] (a) [101] [011] [111] [000][100]
101 (011]
|111] (b)'(110 000 |100

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