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11 Samacheer Maths Solutions for 7.5.17 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 matrix and determiningants.It hasTrademarkia has has hasThe concepts were born in the 17th century.The mathematicians tried to solve the problem with multiple simultaneous linear equations by using matrices and determinants.Some of the clay tablets were created with matrices from the Babylonians era and are still preserved.
In the ordinary life this has wider applications.The matrices are widely used in modern applications to solve complex problems.The predictions and models are using matrices.The word matrix was invented by a lawyer in association with a mathematician in 17th century.Since the concept of matrix was invented it has a powerful application 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 practice.The basis of the term is the form of the ellipse.Gauss was the originator of this in the 17th Century.The idea of determinants is expanded by another mathematician.We can use matrices to write coefficients of linear equations.
Almost all corporates and educational institutions use excel spread sheet as a matrices for in data.A lot of the dashboards that are developed for management decision making and operational analysis are in a 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 in different states over the past decade.The elements in the matrix are distributed in two dimentional rows and columns.The brackets are usually put over the rows and columns to indicate that a matrix is formed.
The size of the matrices is determined by the number of rows and columns on the matrix.If there are 10 rows and 5 columns in a matrices its size is 50.There are matrices that only have one row.Column matrices are matrices that don't have any other than a single column.The zero matrices are the type of matrices where the elements are not 0.
It's also known as a void Matrix or null Matrix.square matrices have the same number of row and column elements.In a square matrix the principal diagonal is represented by elements that fall in the diagonal lineThere are different ways to say the principal diagonal.The elements are called diagonal main diagonal or leading diagonal elements.
The rest of the elements in the unit matrix are all zero.All of the elements in the diagonal will have a value.triangular matrix is a special type of matrix that is in the square matrix.If all of the elements in the bottom of the diagonal are zero it is called a triangular matrix.If all elements in the matrices are equal then we can say that both are equal.
If any of the elements isn't the same or not in the same order it is called an equal matrices.Adding multiplication andSubtracting are some of the operations that we can do.The division of two matrices are impossible.Before we can perform the operations we have to be satisfied.If we have to multiple a matrix with a constant we need to add the elements of the matrix together.
If both matrices have the same number of rows and columns we can add and subtract.Adding matrix A with matrix B indicates A+B of each of the elements of the matrices.The A-B of the elements of the matrices is indicated by the subtraction of the 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 can add or subtract that matrix.We have to state in the result that an addition or subtraction is not possible if not.