Application of Matrices in Life: Examples

Application of Matrices – Application of matrices are not confined to Mathematics. The concept is widely used in Engineering, Science, and Compute Applications as well. Matrices are the rectangular array of symbols or numbers that are set in columns and rows. There are a total of 9 types of matrices and each of them are extremely important. Students get to learn about Matrices from a basic level of Class 9 or 10. Understanding the uses of matrices in the initial stages will help them score higher marks in the examination.

Now, when it comes to the uses of matrices in daily life or what are the real-world applications of matrices, students can find all the details here. In this article, we have provided all the information regarding Matrices and their uses in a very easy-to-understand manner. Read on.

Application of Matrices in Real Life

Let us look at some of the application of matrices in real life situations:

Use of Matrices in Science / Application of Matrices in Physics
Matrix or Matrices are used in optic science to account for refraction and reflection. Matrices are also useful in electrical circuits and quantum physics. Moreover, matrices are used to solve AC network equations in electrical circuits.

Uses of Matrices in Mathematics / Application of Matrices in Statistics
Uses of matrices in Maths include solving the linear equations. Matrices are incredibly useful concepts that occur in various applied areas.

Uses of Matrices in Graphics
Digital images are referred to as matrices when used in graphic design. The rows and columns of the matrix are equivalent to the rows and columns of pixels, to put it another way. Additionally, the number entries match the colour codes of the pixels. Additionally, graphs can be represented using matrices. Each column and row of a matrix is a point on a network, and the value of their intersection is the link they have, hence every graph can be represented as a matrix.

Other Applications of Matrices

Matrices have the following uses in our day-to-day life. Some of the uses of matrices in daily life are mentioned below:

• Encryption – A very common use of matrix in daily life is during encryption. We use it to scramble data for security purposes, and to encode and decode this data, we require matrices. There is a key that helps encode and decode data which is generated by matrices.
• Games especially 3D – One application of matrices is in games. We use it to alter the object, in 3d space. They use the 3d matrix to 2d matrix to convert it into the different objects as per requirement.
• Economics and Business -To study the trends of a business, shares, etc. and to create business models etc.
• Construction – Another common application of matrices in real life is the construction sector. Have you seen some buildings that are straight but sometimes architects try to change the outer structure of the building? This can be done with matrices. A matrix is made of rows and columns you can change the number of rows and columns within a matrix. Matrices can help support various historical structures.
• Dance – contra dance – It is used to organise complicated group dances.
• Animation – It can help make animations more precise and accurate.
• Physics – Matrices are applied in the study of quantum mechanics, electrical circuits, and optics. It helps in the calculation of battery power outputs, resistor conversion of electrical energy into another useful energy. Therefore, matrices play a major role in calculations. Especially in solving the problems using Kirchoff’s laws of voltage and current.
• Geology – Matrices are used for taking seismic surveys.

Types of Matrices

There are 9 types of matrices/matrix. Have a look at the listed mentioned below:

• Column matrix
• Row matrix
• Null matrix
• Lower triangular matrix
• Diagonal matrix
• Upper triangular matrix
• Square matrix
• Symmetric matrix
• Anti-symmetric matrix

FAQs About Applications of Matrices in Real Life::

Q.1: How many types of matrices are there?
Ans: There are a total of 9 types of matrices.

Q.2: In Geology, what is the application of Matrix in real life?
Ans: In Geology, matrices are used for making seismic surveys. They are used for plotting graphs, and statistics and also to do scientific studies and research in almost different fields.

Q.3: What can matrices be used for?
Ans: Matrices can be used for calculating data, stats, etc., and plotting graphs.

Q.4: What is the application of Matrix in Economics?
Ans: In economics very large matrices are used for the optimization of problems, for example in making the best use of assets, whether labour or capital, in the manufacturing of a product and managing very large supply chains.

Q.5: Where can students get reliable materials on Matrices?
Ans: Since Matrices is an extremely valuable chapter, the students must ensure that they download the materials from reliable sources. Therefore, they can download all the efficient materials from Embibe.