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11 Samacheer Maths Solutions for 7.2.13 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 the history of mathematics is the matrix and determiningants.It had traces in the 2nd and 4th century BC.The ideas were developed during the 17th century.The mathematicians needed matrices and determinants to solve the problem of multiple simultaneous linear equations.Some of the clay tablets were created with the matrices which are still preserved.
This is applied in the normal life.The matrices are used in analytic applications to solve problems using a computer.The predictions and model developments using matrices are part of the analytic problems.A lawyer and a mathematician in the 17th century came up with the word matrix.The concept of matrix was used in a very powerful way by the concepts of mathematics.
In terms of organised cars in a parking area coconut trees in a farm land and the 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 a quadratic form.This was popularized by Gauss in the 17th century.The idea of the determinants was expanded by another famous mathematician.The coefficients of the linear equation can be written on matrices.
Most corporates and educational institutions use excel spread sheet as a matrices to represent in data.Many of the dashboards developed for management decision making and operational analysis are in a matrices format with rows and columnsA table with years in the columns and states in the rows can be used to show the population across different states in India over the past 10 years.There are two dimentionals as rows and columns in the matrix.The square brackets are usually put over the rows and columns to indicate that a matrix has formed.
The size of the matrices can be determined by the multiplication of A * B.The size of the matrices is determined by how many rows and columns it has.row matrices are matrices with only one row.Column matrices are the matrices that have just one column.The zero matrices are a type of matrices where all the elements are not 0.
It's called a Void Matrix or null Matrix.The square matrices have equal number of row elements and column elements.In a square matrix the principal diagonal is represented by elements in the diagonal line.The principal diagonal has several different names.It is also called a main diagonal or leading diagonal.
The unit matrix only has values in the diagonal and the rest of the elements are not.All the elements will have the same value.triangular matrix is a type of matrix that can be found on the square matrix.If all the elements in the bottom of the diagonal are zero then it is called a triangular matrix.If all the elements in the matrices are equal we can say that there is no difference between the two matrices.
If any of the elements isn't the same or not in the same order it's called an equal matrices.Adding multiplication andSubtracting can be done with algebric operations.The division of two matrices can not be done.There are certain things we have to be satisfied with before we do the operations.If we have a matrix with a constant then we need to add all the elements of it together.
If the matrices have same number of rows and columns we can add and subtract them.The A+B of each of the elements of the matrices is indicated by the addition of matrix A and matrix B.The A-B of elements of the matrices are indicated by the subtraction of Matrix A with matrix B.We need to first confirm that the number of rows and columns of one matrix is the same as the number of rows and columns in the other matrix.We need to say in the result that it's not possible.