Consider the set A of all determinants of order $$3$$ with entries $$0$$ or $$1$$ only. Let B be the subset of A consisting of all determinants with value $$1$$. Let C be the subset of A consisting of all determinants with value –$$1$$. Then:

Question

Infinity Learn · Accepted Answer

Each member in B gives rise to a member in C which is obtained by interchanging  two rows.  Similarly each member in C gives rise to a member in B which is obtained by interchanging two rows. ⇒there is a $$one-one$$ correspondance between the members of B and C. ⇒B has as many elements as C.

Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with value 1. Let C be the subset of A consisting of all determinants with value –1. Then:

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