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Let M(2) be the set of all 2xx2 singular...

Let `M_(2)` be the set of all `2xx2` singular matrices of the form `{:((a,a),(a,a)):}` where `ainRR`. On `M_(2)` an operation `@` is defined as `A@B=AB` for all `A,BinM_(2).` Show that `@` is a binary operation on`M_(2)`.

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