Differentiation and Integration of Matrices

For example, the derivative of the matrix [A t where [ 4] is a constant matrix is 

The chain rule for the differentiation of products has the matrix generalization 

One method for finding inverses requires calculating the cofactor and adjoint matrices, 

The co factor matrix associated with an m X m matrix [ 4] is an m X m matrix [24 ] obtained from [ ] by replacing each element of [ 4] by its signed cofactor A j where 

For a square matrix of order 2, the inverse can be computed from Eq. A.3.8 as follows The determinant of a matrix [ xl ] of order 2 is 

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