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11 Samacheer Maths Solutions for 7.1.9 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's one of the oldest concepts in the history of mathematics.It hasThe concepts were developed during the 17th Century.When mathematicians tried to solve a problem related to multiple simultaneous linear equations there was a need for matrices and determinants.Some of the clay tablets that were created with the matrices which are still preserved are from the Babylonians era.
This could be used in the normal life.In modern application the matrices are used to solve problems using a computer.Predicting and model developments using matrices are part of the analytic problems.The word matrix was invented by a lawyer in association with a mathematician in the 17th century.The concept of matrix has a powerful application to mathematics.
In terms of organised 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 is found in the form of the quadratic form.This was used by Gauss during the 17th century.Another famous mathematician expanded the concept of determinants.The linear equation's coefficients can be written using matrices.
Almost all corporates and educational institutions use excel spread sheet to represent in data.Many of the dashboards developed for management decision making and operational analysis are in matrices format with tables that comprise of rows and columns.A table with years in the columns and states in the rows can be used to show the population across India for the past 10 years.There are rows and columns of elements in the matrix.We put a square brackets over the rows and columns to show that there is a matrix.
The size of the matrices depends on the number of rows and columns in the matrices.The size of the matrices should be 50 if there are 10 rows and 5 columns.row matrices are matrices that only have one row.Column matrices are matrices with only a single column.The zero matrices are a type of matrices in which all elements are 0.
It's also called a null Matrix.Square matrices have the same number of row elements and column elements.The principal diagonal is represented by elements that fall in the diagonal line in a square matrix.There are several names for the diagonal.Diagonal main diagonal or leading diagonal elements are what it is called.
The rest of the elements are zero in the unit matrix.The elements have a value of 1 in the diagonal elements.The triangular matrix is a type of matrix that can be found in the square matrix.If all the elements in the bottom of the diagonal are zero then the triangular matrix is called a square matrix.If all elements in the matrices are equal we can say that both are equal.
If any element is not the same or not in the same order then it is called an equal matrix.Adding multiplication and subtracting can be done in algebric operations.It is not possible to divide two matrices.Before we do the operations there are certain requirements to be satisfied.If we have a matrix with a constant then we need to add all the elements together.
If both the matrices have the same number of rows and columns we can add or subtract them.The A+B of the elements of the matrices are indicated by the addition of matrix A with matrix B.The A-B of the elements of the matrices is indicated by the subtraction 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 them.We need to state in the result that an addition or subtraction is not possible if not.