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Monday, August 22, 2016

Limit, Differentiation and Integration of Determinant

Limit of a determinant:
Let  provided each of nine limiting values exist finitely.

Differentiation of a determinant:

Let  then


Integration of a determinant:

Let  where a, b, c, l, m and n are constants then

If more than one row (column) of Δ (x) are variable, then in order to find 
first we evaluate the determinant Δ (x) by using the properties of determinants and we integrate it.

Ex: 
If  then evaluate 
Sol:  

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