The group of matrices with determinant _________ is a subgroup of the group of invertible matrices under multiplication.(a) 2(b) 3(c) 1(d) 4This question was addressed to me by my college director while I was bunking the class.My question is from Groups topic in portion Groups of Discrete Mathematics

The group of matrices with determinant _________ is a subgroup of the

1.	The group of matrices with determinant _________ is a subgroup of the group of invertible matrices under multiplication.(a) 2(b) 3(c) 1(d) 4This question was addressed to me by my college director while I was bunking the class.My question is from Groups topic in portion Groups of Discrete Mathematics
Answer» Right choice is (C) 1 Explanation: The group of real matrices with determinant 1 is a subgroup of the group of invertible real matrices, both equipped with matrix MULTIPLICATION. It has to be SHOWN that the product of two matrices with determinant 1 is ANOTHER matrix with determinant 1, but this is immediate from the multiplicative property of the determinant. This group is usually denoted by(n, R).

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