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Question

Mathematics Question on Determinants

Let X= {[a b c d] / a,b,c,d ∈ R}. If f:X → R is defined by f(A) = det (A) ⦡ A ∈ X, then f is:

A

one-one but not onto

B

onto but not one-one

C

one-one and onto

D

neither one-one nor onto

Answer

onto but not one-one

Explanation

Solution

The correct option is: (B) onto but not one-one