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B=S^-1AS

or

B=[[T(v1)]beta [T(v20]beta]

so i found the reflection matrix to be [4/13 6/13] for the first column and [6/13 4/13] for the second. I'm using e1 and e2 for the v1 and v2. Every time I try solving this I keep getting the same matrix and I don't believe that is right. I think there should be negative somewhere because it is a reflection and I can't figure out what I'm dong wrong. Any help would be greatly appreciated.