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11 Samacheer Maths Solutions for 7.1.11 is given in a real board in a hand written format. This would be useful for students to understand the solution in easy and simple manner. The grasping power increases by reading the solution in a notes format. Hence we have given all the solution in volume 2 in this board format. Please share with your friends if you find this format useful.
One of the oldest concepts in mathematics is the conjugates and Determinants.ItTrademarkia it hasThe concept was developed in the 17th century.When the mathematicians tried to solve the problem of multiple simultaneous linear equations there was a need for matrices and determinants.Some of the clay tablets with the matrices that are still preserved are from the Babylonians era.
This is applicable in the normal life.The matrices are used in a lot of modern applications.Predicting and model developments are included in the analytic problems.In the 17th century a lawyer and a mathematician came up with the word matrix.The concept of matrix is a powerful concept in mathematics.
In terms of organisation of cars in a parking area coconut trees in a farm land and storage of boxes in a storage area we can see matrices in common practise.The basis for the term determinants is the quadratic form.Gauss came up with the idea in the 17th century.The idea of the determinants was expanded by another mathematician.The linear equation coefficients can be written using matrices.
In data is represented in excel spread sheet as a matrices and is used in almost all corporates and educational institutions.A number of the dashboards developed for management decision making and operational analysis are in a matrices format with rows and columns.A table with years in the columns and states in the rows can be used to show the population of different states for the past 10 years.The elements are distributed in two dimentional rows and columns.The rows and columns are usually covered with a square brackets to indicate that there is a matrix.
The size of the matrices is determined by how many rows and columns the matrices have.The size of a matrices is 50 if it has 10 rows and 5 columns.The matrices that have only a single row are called row matrices.Column matrices are matrices that have one column.The zero matrices are a type of matrices.
It is also called a matrix.Square matrices have the same number of row and column elements.The elements that fall in the diagonal line represent the principal diagonal.There are different names for that diagonal.It is also known as main diagonal or leading diagonal elements.
The unit matrix has values only in the diagonal and the rest of the elements are zero.All elements have the same value in the diagonal elements.triangular matrix is a special type of matrix that can be found in the square matrix.The triangular matrix is defined by the number of elements in the bottom of the diagonal.If all of the elements in the matrices are equal we can say that the two matrices are not equal.
If any of the elements are not the same or not in the same order then they are called equal matrices.Adding multiplication and subtracting are some of the operations we can do on matrices.Only the division of two matrices are possible.There are certain things that need to be satisfied before we can do the operations.If we have to multiple a matrix with a constant then we need to add all the elements of the matrices together.
If the matrices have the same number of rows and columns we can add or subtract them.The addition of matrix A with matrix B shows the A+B of the elements of the matrices.The A-B of each of the elements of the matrices is indicated by the addition of Matrix A with matrix B.If the number of rows and columns in one matrix is the same as the number of rows and columns in the other matrix we need to add or subtract the matrices.We need to state in the result that adding or subtracting something is not possible.