Mathematics can become challenging in higher classes when students restraint themselves from practicing it. Math is a mixture of logic and calculations. The level of difficulty increases with the promotion of class. Some students find it difficult to cope with the subject while others glide through the topic.
One such topic that students find difficult in higher classes is Matrices. Matrices are introduced only but things become confusing when one needs to solve an equation with Matrices. Before diving directly into solving Matrices with equations one needs to understand the fundamental meaning of matrix. It is the rectangular arrangement of columns and numbers in a row. The rectangular arrangement or matrix is bordered by large brackets [] and small brackets ().
For example A= [1, 7, 8], B= (p, q, r)
It can be solved easily by many students. But some students face a lot of problems while solving these equations, which often tend to become more difficult with the level.
This guide helps you to how to solve equations with matrices.
Let’s see how we can overcome this fear and accomplish it too.
Study Matrix theorems
A prepared student always makes a good student. Before hitting the calculations directly, it becomes crucial for you to understand the basics of Matrices. To do this you must be thoroughly familiar with the theorems of the Matrix. In order to solve even the simplest form of matrix one must be aware of the rules and if possible must learn it too.
The Matrix theorem will assist you through matrix multiplications, matrix addition, transposition rules, inverse rules, and other such important ideas. If you are thorough with these rules then you can be confident that you will be able to solve even the most difficult equation with matrices. The basic knowledge of any topic acts as the building block of the topic. Similarly, the theorems provided to you are there to guide you through the topic and hence is proved to be a crucial step of learning while practising this topic.
Do Practice:
Deduce the problems and equations
No problem can be solved without taking the efforts of understanding it and deducing the requirement carefully. The same goes for the equations with matrices. Solving equations with matrices requires a certain amount of conceptual learning and understanding of the problems.
Many students find it complex because they cannot deduce the problems. This occurs due to a lack of familiarity with the Matrix theorems as well as language deduction. Often students in higher secondary classes have very little time to complete the vast majority of the syllabus to be able to sit in exams confidently. But they often end up misunderstanding the problem, while giving the exam.
Thus they need to be thorough with the language of mathematics to be able to solve equations within the time limit of the scheduled examination.
Read: How to Effectively Revise Math: 10 Powerful Tips
Take help from teachers
When you are unable to solve a problem or understand it, instead of looking up the internet and finding the wrong solution or processing it is advisable that you ask assistance from your teachers. Always remember to take help from authentic sources like justtutors.com. Your teachers are always there to help you out regarding any problem or issue that you might encounter when learning this topic.
Be confident enough to approach your faculty members as well. Your teachers know much more than you do. Believe in their way of teaching and the solution they provide. A teacher may also provide you with certain tricks and tips that they have developed through their experience which will certainly not be present in any book.
Also Read: How to Develop Students’ Interest in Mathematics
Participate in group studies
Many times your peer may become your educator. There might be times when you cannot understand the application of the matrix rules or inverse rules and you are too shy to ask your teacher for help. The best way to get assistance in this scenario is to actively participate in group studies. Group studies will enlighten you through tips and tricks that your friends apply while solving equations of matrices. Exchange of ideas, tips, and solutions will certainly make you understand the topic more deeply and hence will boost your confidence in solving them.
You can initiate group studies if you think you need guidance. Your peers are the second-best educators when it comes to guiding you correctly in solving equations with matrices.
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Practice individually
While it is good to participate in group studies and collaborate to exchange ideas for solving problems, it is equally significant to practice individually. Practicing individually will make you realize the speed at which you can solve an equation and the amount of time you require to solve the paper. Self-practice is a fundamental process when it comes to understanding matrices. You will be able to recall all the theorems that you have learnt without any assistance which will make you confident while understanding an equation.
Practicing alone will make you efficient. It will make you understand your shortcomings and hence encourage you to improve your matrix skills. Make sure you practice the topic of matrices regularly alone, in a noise-free environment to be able to build maximum concentration and understand the concept as a whole.
Sit for mock tests
After you have solved innumerable problems, taken help from your peers and teachers, understood the concept and its application thoroughly it is advisable to sit for mock tests. Mock tests will not only give you an idea about the type of questions that you might encounter on the day of your examination on the topic of matrices but will also show your speed and accuracy. You will find a variety of mock tests available on the internet. You can also ask your math teacher to take a test on the same topic so that you can ensure yourself that you are thorough with solving equations with matrices.
Check Out: 5 Best GCSE Maths Books for Students
Conclusion
No topic can be difficult for a hard-working student. It just depends on the time and efforts that you put into practising the topic of Math or any other subject that you find difficult. Practice makes a man perfect, it surely does if we keep revising our topics and acknowledging ways to improve.
You will be able to solve all types of equations with matrices if you can follow the above ways.
Also Checkout:
- MCQ Questions for Common Core Grade 1 Math
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