"Linear Algebra and its applications"-determinant

This chapter begins with an introduction to another basic concept in linear algebra-the determinant.

In fact, like the Matrix, the determinant is also a tool for simplifying the expression polynomial, about the historical origin of the determinant, as the following introduction.

In introducing the inverse matrix, we have mentioned that the second-order matrix has a corresponding determinant based on matrix A | a| and adjoint matrix calculation method, at that time because no determinant is put aside, today here will give a detailed proof of the process.

The basic concepts of determinant, adjoint matrix and cofactor type, algebraic cofactor type are not described here.

In addition, due to the symbols of the MathType editor, this will prove that the process is written on the blackboard and then made.

It is worth noting that this algorithm based on matrix corresponding determinant and adjoint matrix, is suitable for all n-order matrices, but for the 3-order matrix, we get the adjoint matrix process is too large to use, and for the 2-order matrix is the most suitable.

"Linear Algebra and its applications"-determinant