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11 Samacheer Maths Solutions for 7.1.5 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.
It is one of the oldest concepts in the history of mathematics.ItTrademarkia hasTrademarkiaThe concepts were well developed in the 17th century.When the mathematicians tried to solve a problem with multiple simultaneous linear equations there was a need for matrices and determinants.Some of the clay tablets made with the matrices which are still preserved are from the Babylonians era.
There are applications in the normal life.The matrices are used in modern applications to solve complex problems.Predictive model developments using matrices 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 has a powerful application to the concepts of mathematics.
In relation to arranging 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.There is a basis for the term determinants.Gauss invented this in the 17th century.The concept of determinants was expanded by a famous mathematician.The coefficients of the equations can be written using matrices.
In data is represented in excel spread sheet as a matrices which is used in almost all corporates and educational institutions.Many of the dashboards 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 depict the population of India for the past 10 years.The elements in the matrix are distributed in rows and columns.The square brackets are usually put over the rows and columns to indicate that a matrix has been formed.
The size of the matrices is determined by the number of rows and columns they have.The size of the matrices is 50 for 10 rows and 5 columns.The matrices with only a single row are called row matrices.Column matrices are the matrices that only have a single column.The zero matrices are a type of matrices where all the elements are 0.
It is also known as a null matrix.There is an equal number of row elements and column elements in the square matrices.In a square matrix the principal diagonal is represented by elements that fall in the diagonal line.There are different names for a diagonal.It's also known as diagonal main diagonal or leading diagonal elements.
The unit matrix has values only in the diagonal and the rest of the elements are all zero.The elements will have a value of 1 in the diagonal elements.triangular matrix is a type of matrix found in the square matrix.The triangular matrix is called if all of the elements in the bottom of the diagonal are zero.If all the elements of the matrices are equal we can say that both are equal.
If any element is not the same or not in the same order it is called an equal matrix.Adding multiplication and subtracting can be accomplished with algebric operations.The division of two matrices isn't possible.There are certain requirements to be satisfied before we do the operations.If we have to multiplication all the elements of the matrices with the same element then we need to use the constant.
If both matrices have the same number of rows and columns we can add or subtract them.The A+B of the elements of the matrices is determined by the addition of matrix A with matrix B.The A-B 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 that matrix.We need to mention in the result that adding or subtracting something isn't possible.