(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let A be a 3 x 3 matrix. Consider the function f(A) = a_{11}a_{22}a_{33}; g(A) = a_{11}a_{12}a_{13}and h(A) =1. Show that each of these is not a determinant function.

2. Relevant equations

det(I) = 1

det(B) = det(A) (if B is obtained from adding a mutiple of one row of A to another row)

det(B) = - det(A) (if B is obtained from interchange two rows)

det(B) = m det(A) (if B obtained from A by multiplying a row of A by the number m)

3. The attempt at a solution

isn't f(A) = a_{11}a_{22}a_{33}a determinant function ?

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# Homework Help: Determinant functions

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