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11 Samacheer Maths Solutions for 7.1.15 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 matrix and Determinants.ItTrademarkia hasTrademarkiaThe concept were developed in the 17th century.When the mathematicians tried to solve the problem with multiple simultaneous linear equations the need for matrices and determinants came up.Some of the clay tablets created with the matrices which are still preserved can be traced back to the Babylonians era.
There are broader applications in the normal life.The matrices are used in modern applications to solve complex problems using a computer.The predictions and model developments are part of the analytic problems.The word matrix is a creation of a lawyer and a mathematician in the 17th century.The concept of matrix has a strong application to 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 determinants can be found in the quadratic form.This was created by Gauss during the 17th century.The concept of determinants was further expanded by another mathematician.The coefficients of a linear equation can be written with matrices.
Most corporates and educational institutions use an excel spread sheet to represent their data.A lot of the dashboards that are 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 across different states in India for the past 10 years.The elements are distributed as rows and columns.A square brackets is usually put over the rows and columns to indicate that a matrix has been formed.
If the matrices have A number of rows and B number of columns then the size of the matrices is determined by the number of rows and columns.If a matrices has 10 rows and 5 columns then the size is 50.Row matrices are matrices that only have one row.Column matrices are the matrices that have one column.The zero matrices are a type of matrices where all of the elements are 0.
It's also called a null matrix or void matrix.There are equal number of row and column elements in the square matrices.There are elements that fall in the diagonal line that represent the principal diagonal in a square matrix.There are various names for the diagonal.It's also called a main diagonal or leading diagonal elements.
The units have values only in the diagonal and the rest of the elements are all zero.The elements in the diagonal will have a value.triangular matrix is a type of matrix that is found in the square matrix.If all the elements in the bottom of the diagonal are zero then it's called the triangular matrix.If all elements in the matrices are equal we can say that the two matrices are equal.
If the elements are not the same or not in the same order it's called a unequal matrix.Adding multiplication and subtracting are some of the operations we can do on mathematics.Only two matrices can be divided.There are certain things we need to be satisfied with before we can do the operations.We need to add all the elements of the matrices with the same element.
If both the matrices have the same number of rows and columns then we can add and subtract them.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 removal of Matrix A with matrix B.If 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 add or subtract matrices.We need to say in the result that such an addition or subtraction is not possible.