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
10th Edition
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Chapter2: Second-order Linear Odes
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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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