Mathematics is a subject that we use in every part of our life. It is almost impossible to remove mathematics from our life. You can only become a billionaire if you become the master of your money rather than a slave of money. To become a billionaire first you have to understand money and for that, you need to know mathematics. Now you must have got an idea that almost everything is connected to mathematics right from your goals to setting a budget for your house. In every field, whether it is medical, engineering, architecture, or electronics you need mathematics. It is important to understand each concept in math clearly. You must have studied the different operations of matrices such as the inverse of matrix in school.
You must have studied different topics in mathematics and sometimes you must have felt fresh while solving mathematics problems. There are three main factors of learning mathematics : calculation, application, and inspiration. Mathematics has an infinite number of topics as you go to a higher standard you will understand the beauty of mathematics. In school first, you understand digits then in the eleventh standard you perform several operations on mathematics such as transverse of the matrix, multiplication of matrix, and many more. Let’s see some easy steps to calculate the inverse of a matrix:
- One of the simplest formulas to find the inverse is the multiplication adjoint of ‘B’ and term ‘C’. Where ‘C’ is the one upon the determinant of ‘B’. Here, ‘B’ is the two by two matrix for which we have to find the inverse that is ‘B’ inverse.
- Before solving the matrix for the inverse you should remember one trick that is if the determinant of the matrix is zero then its inverse doesn’t exist.
- Most of the time you will face tricky questions where you will ask to find out the inverse and they will give you a singular matrix where the determinant of a matrix will be zero. Therefore always find the determinant first before going further.
- Consider ‘B’ has elements p, q in the first-row r, s in the second row. To find the determinant follow these steps: multiply p and s and subtract it from the value of q into r.
- If you get the value of determinant zero then you can’t proceed further as it is a singular matrix but if you get a value other than zero then you can proceed further as it is a non-singular matrix.
- The adjoint of ‘B’ is simply the transverse of matrix B. In order to get the transverse you just have to change the rows into columns and when we do this the first element of the first row always remains the same.
- In another case, you can find the adjacent matrix in this way by putting the elements in this order s, -q in the first row and –r, p in the second row. Here you will get your adjoint matrix.
- Now simply divide this matrix with the determinant and you will get the ‘B’ inverse. This is how you can solve the inverse operation of the matrix.
- It is very important that you understand this method clearly. There are several applications of matrices. You will also observe some word problems on this topic.
- Always remember certain rules while solving problems based on these topics and remember certain tricks so you will solve a problem faster.
Now you must have understood how easy mathematics is if you study it by considering real-life examples and solutions. Similarly, you can solve problems based on invertible matrix. You can understand mathematics more practically if you study it from Cuemath. Here, you will learn all the properties of every shape with their real-life examples. Make the mathematics subject interesting for your kids. Don’t let your kid think that mathematics is the most boring and complicated subject. Teach them mathematics concept-wise so that they can enjoy mathematics.
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