Another question I dont get - I need to show that D & E are isomorphic

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- Jul 18th 2008, 05:01 AMmoolimanjIsomorphic Groups
Another question I dont get - I need to show that D & E are isomorphic

- Jul 18th 2008, 05:13 AMkalagota
how about showing that their dimensions are equal..

- Jul 18th 2008, 05:55 AMmoolimanj
How do i do that?

- Jul 18th 2008, 06:10 AMkalagota
What is a possible basis for $\displaystyle D$?

Let $\displaystyle M = \left[{\begin{array}{ccc} a & b & c \\ d & e & f \\ g & h & i \end{array}}\right]$ where $\displaystyle a,b,...,i \in \mathbb{Z}$

compute for $\displaystyle TM$. That $\displaystyle TM$ is in $\displaystyle E$.

based on $\displaystyle TM$, what is a possible basis for $\displaystyle E$.

if number of basis elements of D = number of basis elements of E, then you are done..