Math Help - Any ideas here please? :-)

1. Any ideas here please? :-)

Hi guys,
Would appreciate a bit of advice on this...
If I have a collection of Matrice s let's call this S. $S={M | det M = 1}$ How do I prove that if T & Y are in S then so is TY and also if T is part of S then T^-1 is also a part of S.

Anyone any experience with this type of question?

2. Originally Posted by infinitepersepctives
Hi guys,
Would appreciate a bit of advice on this...
If I have a collection of Matrice s let's call this S. $S={M | det M = 1}$ How do I prove that if T & Y are in S then so is TY and also if T is part of S then T^-1 is also a part of S.

Anyone any experience with this type of question?

Use the product theorem: $\det(AB)=\det A\cdot\det B$

Tonio