A determinant may be considered to bea function which associates each square matrix with a unique number , either real or complex .Which of the following represents the correct definition of this function, if M denotes a matrix and c a real or complex number ?

f ^-1(M) = c

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f^-1(C) =M

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f(M) = c

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f( c) = M

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Solution

The correct option is C
f(M) = c

If B is the set of square matrices, A is the set of

numbers (real or complex) and : B ? A is defined by (M) = , where M ε B and

A,

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A determinant may be considered to bea function which associates each square matrix with a unique number , either real or complex .Which of the following represents the correct definition of this function, if M denotes a matrix and c a real or complex number ?

The correct option is C f(M) = c If B is the set of square matrices, A is the set of numbers (real or complex) and : B ? A is defined by (M) = , where M ε B and A,

The correct option is C
f(M) = c

If B is the set of square matrices, A is the set of

numbers (real or complex) and : B ? A is defined by (M) = , where M ε B and

A,