Isomorphic Groups

**moolimanj** · July 18th 2008, 05:01 AM

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

**kalagota** · July 18th 2008, 05:13 AM

how about showing that their dimensions are equal..

**moolimanj** · July 18th 2008, 05:55 AM

How do i do that?

**kalagota** · July 18th 2008, 06:10 AM

What is a possible basis for $D$ ?

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

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

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

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

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