Consider the orthogonality relation R on the set b

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Consider the orthogonality relation R on the set B^2 = {(0,0), (1,0), (0,1), (1,1)}, given by (x1, x2) R (y1, y2) ⇔ (x1·y1 + x2·y2) mod 2 = 0, for all (x1, x2),

(y1, y2) ∈ B^2.

(a) Show an example of a relation matrix MR representing R.

(b) Is R reflexive? symmetric? antisymmetric? transitive? Explain your answers.

Reference no: EM13747113

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