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Let M(Z/6Z) be the set of 2 X 2 matrices with the entries in Z/6Z 2x2 (a) Can you find a matrix M(Z/6Z) whose determinant is non-zero and yet is 2x2 not invertible? Does the set of invertible matrices in M.,(Z/6Z) form a group? (b) 2x2

Let M(Z/6Z) be the set of 2 X 2 matrices with the entries in Z/6Z 2x2 (a) Can you find a matrix M(Z/6Z) whose determinant is non-zero and yet is 2x2 not invertible? Does the set of invertible matrices in M.,(Z/6Z) form a group? (b) 2x2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let M(Z/6Z) be the set of 2 X 2 matrices with the entries in Z/6Z 2x2 (a) Can you find a matrix M(Z/6Z) whose determinant is non-zero and yet is 2x2 not invertible? Does the set of invertible matrices in M.,(Z/6Z) form a group? (b) 2x2
Transcribed Image Text:Let M(Z/6Z) be the set of 2 X 2 matrices with the entries in Z/6Z 2x2 (a) Can you find a matrix M(Z/6Z) whose determinant is non-zero and yet is 2x2 not invertible? Does the set of invertible matrices in M.,(Z/6Z) form a group? (b) 2x2
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