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11 Samacheer Maths Solutions for 7.5.1 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 are matrices and Determinants.It hasTrademarkia hasTrademarkia hasIn the 17th century concepts were developed.The mathematicians tried to solve the problem with multiple simultaneous linear equations and needed matrices and determinants.Some of the clay tablets were made using the matrices which are still preserved.
This has applications beyond the normal life.In modern application the matrices are used to solve problems using computers.Predicting and modelling using matrices are included in the analytics problems.In the 17th century a lawyer and a mathematician came up with the name matrix.The concept of matrix was used to apply 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 are able to see matrices in common practise.The basis for the term is the form of the quadratic form.This was used by Gauss during the 17th Century.The concept of determinants was increased by another mathematician.The coefficient of a linear equation can be written using matrices.
Almost all corporates and educational institutions use excel spread sheet to represent in data and it has wider application.Many of the dashboards developed for management decision making and operational analysis are also in 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 for the past 10 years in India.There is a rectangular array of elements that are distributed in two dimentionals.The rows and columns are usually covered with a square brackets in order to indicate that a matrix has formed.
If there are A number of rows and B number of columns then the size of the matrices is determined.If a matrix has 10 rows and 5 columns then the size is 50.Row matrices are matrices that have only a single row.The single column matrices are called column matrices.The zero matrices are matrices with no elements in them.
It's also called null matrix.square matrices have the same number of row elements and column elements.The principal diagonal is represented by elements in the diagonal line in a square matrix.There are many names for this diagonal.Diagonal is also referred to as main diagonal or leading diagonal elements.
The unit matrix have only the values in the diagonal and the rest of the elements are all zero.All the elements will have the same value as 1 in the diagonal elements.The triangular matrix can be found on the square matrix.If all of the elements in the bottom of the diagonal are zero the triangular matrix is called a square matrix.If all the elements in the matrices are equal we can say that both of them are equal.
If any of the elements isn't the same or not in the same order then it's called a unequal matrix.Adding multiplication and subtracting are some of the operations we can perform on mathematics.There is only one possible way to division two matrices.There are certain requirements to be satisfied before adding subtracting and multiplication are performed.If we have to multiple a matrix with a constant we need to add all the elements of the matrices with a single element.
If one of the matrices has the same number of rows and columns we can add and subtract them.A+B of the elements of the matrices are indicated by the addition of matrix A and matrix B.The A-B of each of the elements of the matrices can be seen by subtracting Matrix A with matrix B.We need to make sure that the number of rows and columns in one matrix is the same as the number of rows and columns in the other matrix.We have to mention in the result that an addition or subtraction is not possible.