by elimination,substitution or through the matrix method.
It depends on your level of expertise. The simplest method is to invert the matrix of coefficients.
Using the method derived from the usual definition using the minors, the complexity is O(n!). But it seems that one could just do the Gaussian elimination on the matrix, turning the matrix into a triangular one while keeping track of any neccessary row swaps, and then just multiply the values of the diagona. This method would get the complexity of O(n*n).
Cramer's Rule is a method for using Matrix manipulation to find solutions to sets of Linear equations.
One way to solve this system of equations is by using matrices. Form an augmented matrix in which the first 2x2 matrix is the coefficient matrix and the 2x1 matrix on its right is the answer. Now apply Gaussian Elimination and back-substitution. Using this method gives x=5 and y=1.
Departmentation is the process of dividing an organization into different units or departments based on common tasks, functions, products, customers, or geography. The major types of departmentation include functional, divisional, matrix, and team-based structures. Functional departmentation organizes departments based on specialized functions such as marketing or finance, while divisional departmentation groups departments based on products, markets, or geographical regions. Matrix departmentation involves employees reporting to both functional and project managers, and team-based departmentation creates departments based on project teams that cut across traditional functional boundaries.
The word departmentation generally refers to the process of grouping jobs into different logical units. It is the process of categoring an organisation based on departments to facilitate planning and control. the most common method of departmentation is separating different units as per their function. Most organisations mostly consist of the following departments: * sales and marketing * production * finance * human resources * materials and logistics To accomplish organisational goals, job tasks can be sub divided in a variety of ways. There is no one best way of departmentation that is applicable to all organisation. It differs from situation to situation. It is the method of grouping jobs and resources into department., Most organisation use a combination of the following types of departmentation: * departmentation by simple numbers * departmentation by function * departmentation by geography * departmentation by product..
Types of Departmentation I) Departmentation by functions/Functional department II) Departmenation by product or product wise department III) Departmentation by territory/Geography IV) Departmentation by customers V) Departmentation by time VI) Departmentation by process VII) Departmentation by numbers
Departmentation typically includes functional departmentation (based on functions of an organization), product departmentation (based on specific products or product lines), geographical departmentation (based on different regions), process departmentation (based on specific processes involved in the organization), and customer departmentation (based on different types of customers). Each component helps to divide and organize the organizational structure based on different criteria.
The process of grouping various activities into separate units is called departmentation. Departmentation can be made on the basis of functions or product handled. When the departmentation is done on the basis of functions, it is called functional departmentation. Under this all work of same kind are performed in a particular department. The examples of functional basis departmentation is purchase office, sales office, production department, mailing department and accounts department. When an organisation opens departments on the basis of products, it is called product departmentation. The examples of product departmentation are leather division office and plastic division.
There are a number of types of departmentation. These include by time, by location or place, by the functions, or by the process.
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Departmentation by theory encourages focus on customer needs but requires managers and staffs expert in customers' problems.
Functional departmentation is useful only at the lowest level of organization, where tasks are more specialized and routine. This type of departmentation groups employees based on their specific skills and expertise, allowing for efficient coordination of similar tasks. At higher levels of the organization, more complex forms of departmentation may be needed to align resources with strategic goals.
Territorial departmentation usually occurs within organizations and is used by insurance companies. It groups people with activities due to their physical location.
Functional departmentation involves grouping employees based on the functions they perform, such as marketing, finance, or operations. Product departmentation involves organizing employees by the products or services they work on, creating specialized teams dedicated to specific product lines or offerings. Both types of departmentation can help streamline communication, improve coordination, and enhance expertise within an organization.
by elimination,substitution or through the matrix method.