1. According to the accounting dictionary, matrix method is a method of economic prediction and decision-making through matrix sum operation.
There are many practical problems in the field of economic management. In the decision analysis of linear programming problem, the mathematical model of linear programming problem can be transformed into matrix form, and the maximum (or minimum) value of objective function can be obtained through matrix operation.
2. In mathematical terms, matrix method is a general method in risk decision-making problems.
Let θ = {θ 1, θ 2, …, θm} be the natural state set, and θi(i= 1, 2, …, m) is possible. Let the risk matrix or profit and loss matrix be A=(aij)m×n, then the expected profit and loss of aj is E (AJ) = Piaij, and APT = E (A). If the decision-making goal is the maximum benefit, then AR = (E (AJ)) is the optimal scheme; If the decision goal is to minimize losses.
Extended data
In the field of economic management, many practical problems can be summed up as a mathematical model with linear characteristics. The model is treated as a matrix with m rows and n columns arranged by m×n numbers in a certain order, and the prediction and decision value of linear problems can be obtained through reasonable matrix operation.
For example, when multiple linear regression is used to analyze the demand and cost of products, the regression coefficient can be obtained by matrix method, and the prediction mathematical model can be established to determine the prediction value; In the decision analysis of linear programming problem, the mathematical model of linear programming problem can be transformed into matrix form, and the maximum (or minimum) value of objective function can be obtained through matrix operation.
Baidu Encyclopedia-Matrix Method