# Solve determinant

In this blog post, we will show you how to solve determinant.

## Solving determinant

General matrix determinant test one question, 4 points; Linear programming and program block diagram: 5 points for linear programming, which can be combined with straight lines, functions, trigonometry, number sequences, etc. Determinant is a basic tool in linear algebra. It will be used in the study of linear equations, eigenvalues and eigenvectors. Some determinants are very complex to calculate and require a lot of calculation. However, the requirements for this part of the content in the exam are not high. It only requires that determinants be calculated using the properties of determinants and the expansion theorem according to rows (columns). This part of the content is not the focus of the exam, so don't spend too much time in this aspect, As long as you master the basic formula and calculation method. When I searched for information, I never found the meaning of such things as determinant row transformation and column transformation. However, it was found that the linear generation originated from solving the equations. So I researched and solved the equations by myself. The general and simple form should be n equations containing n unknowns. The unknown coefficients form an n-order determinant, and the coefficient matrix In the two-dimensional case, increasing the modulus or angle of the vector can increase the volume of the polyhedron. So dissimilarity here is the core. We then maximize the determinant of the matrix to make the elements in it different. Here, the determinant of a matrix does not consider the relationship between certain two column vectors alone, but deals with the whole world. There are many ways to solve equations. I found that one of the more common and similar to determinant transformation is to expand or contract one equation several times and add it to other equations. From the perspective of coefficient matrix, it is actually to transform coefficient matrix into diagonal matrix through row transformation. In terms of determinant, this does not change its value. This may indicate that determinant has some significance. Further transformation shows that this is related to the denominator of Cramer's law The determinant is solved when m = n and the value of the determinant is not 0. The matrix can find the number of existing rows and solutions of solutions where m is not equal to N, such as the solution of the following equations: In the traditional determinant layout, buildings are arranged in parallel, and there will be occlusion between buildings. The onepiece determinant layout arranges the parallel buildings in a staggered manner: The small knowledge points in the college entrance examination, such as matrix, determinant, program block diagram, linear programming, etc., are not difficult, but if students are not familiar with them and find that they have not seen them in the examination room at ordinary times, they will be nervous. Lao Xiao will comb it for you. The difference between a determinant and a matrix is that a determinant is a definite number and algebraic expression, while a matrix is only a table of numbers. The number of rows and columns of a determinant must be the same, and the number of rows and columns of a matrix can be different. Answer: in a determinant, rows and columns have the same status, and the nature of a determinant always holds true for rows and columns If all the elements in a certain column of a determinant are multiplied by the same multiple, it is equal to multiplying this multiple by this column Multiply the elements of a certain column of a determinant by the same multiple and add them to the corresponding elements of another column. The determinant remains unchanged Answer: B [test point click] this question was examined in the second major question and the 14th minor question of the real question in April 2007. The main knowledge points examined are the conditions for homogeneous linear equations to have non-zero solutions. [key points] equations have non-zero solutions, so the coefficient determinant In linear algebra, determinants are related to the coefficients of equations and coefficient matrices. The system of equations is related to the augmented matrix, the rank of the augmented matrix, and the rank of the vector system. Each knowledge point can be associated with many knowledge points

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