Basic knowledge of matrix algebra is very crucial to solv the complex problems related to it. For example, solving systems of linear equations, checking the dependence of equations etc. Matrix algebra is the common topics for various competitive exams and deep understanding of this topic will definitely help you score more in your exams.
In matrix algebra section, we will explain to you the various topics with the help of video tutorials. We also discuss the examples related to each
1. Matrix Multiplication
Matrix multiplication is multiplying the one matrix to another. There is some basic rule for it. Two matrices can only be multiplied if the number of columns of the first matrix is equal to the number of rows of the second matrix. And, the order of the resultant matrix is equal to the number of rows of the first matrix by the number of columns of the second matrix. We have explained it with an example in the given video lecture.
2. Rank of Matrix
Rank of a matrix is a very important topic in matrix algebra. With the help of the rank of the matrix, we can say whether equations are dependent or not. We can also check whether systems of equations have unique solutions, infinite solutions or no solutions. Elementary row operations don’t change the rank of matrix hence, we can find the rank by Gauss elimination steps. After Gauss elimination steps the number of non zero rows gives the rank of the matrix. Let’s understand this concept with the help of a video lecture.
3. Inverse of Matrix by Gauss Jordan Elimination
The inverse of the matrix can be calculated by various methods. Gauss Jordan Method is one of the important methods to find the inverse. The inverse of a matrix does not exist if the matrix is singular. In this method, we follow Gauss
We will keep adding the video lectures of the other remaining topics, so keep visiting the website for the updates.