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Let M be the set of all singular matr...

Let `M` be the set of all singular matrices of the form `[xxxx]` , where `x` is a non-zero real number. On `M` , let `*` be an operation defined by, `A*B=A B` for all `A ,\ B in Mdot` Prove that `*` is a binary operation on `Mdot`

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