Скачать или смотреть Class 9th mathematics Chapter 1- Matrices and Determinants- Exercise 1.4 Question no.(1 to 4)

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In this YouTube video, we will be discussing the solutions to Exercise 1.4 Questions 1 to 4 from Chapter 1 of the Class 9 Mathematics textbook. The chapter deals with matrices and determinants, which are important concepts in algebra and are widely used in various fields such as computer science, physics, economics, and more.
The first question of Exercise 1.4 involves finding the value of x and y in a system of linear equations. The system is represented in the form of a matrix and we need to use the properties of matrices to find the solution. The video will walk you through step by step on how to convert the system into an augmented matrix and use row operations to transform the matrix into an equivalent one that is easier to solve. We will also discuss how to interpret the final solution in the context of the problem.
Moving on to the second question, we will be working with a 3x3 matrix and finding the determinant of the matrix. The determinant is a scalar value that can be used to determine whether a system of linear equations has a unique solution, no solution or infinite solutions. The video will demonstrate how to calculate the determinant using the cofactor expansion method and also discuss the properties of determinants.
Question 3 involves finding the inverse of a 2x2 matrix. The inverse of a matrix is another matrix that, when multiplied with the original matrix, gives the identity matrix. We will discuss how to find the inverse of a matrix using the adjoint method and also show how to check if the inverse is correct by multiplying it with the original matrix.
Finally, the fourth question requires us to solve a system of linear equations using the inverse of a matrix. We will use the inverse we found in the previous question to solve the system and discuss how this method can be useful in certain situations.
Throughout the video, we will explain each step in detail and provide examples to help you understand the concepts better. We will also highlight important points to remember and give tips on how to approach problems similar to those in the exercise.
By the end of this video, you will have a better understanding of matrices and determinants, as well as the techniques used to solve problems related to them. You will be able to confidently tackle questions similar to those in the exercise and have a stronger foundation in algebraic concepts that will be useful in future studies.




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