Question 7. Suppose that C is a linear code over GF(3) with the following generator matrix. 1 1 1 2 2 1 1 1 2 2 1 1 1 1 2 Find a generator matrix in standard form for an equivalent code by row operations only. Find a parity check matrix for this equivalent code.

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
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Question 7. Suppose that C is a linear code over GF(3) with the following
generator matrix.
1
1
1
2 2 1 1
1 2 2 1
1 1 12
Find a generator matrix in standard form for an equivalent code by row
operations only. Find a parity check matrix for this equivalent code.
Transcribed Image Text:Question 7. Suppose that C is a linear code over GF(3) with the following generator matrix. 1 1 1 2 2 1 1 1 2 2 1 1 1 12 Find a generator matrix in standard form for an equivalent code by row operations only. Find a parity check matrix for this equivalent code.
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