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11 Samacheer Maths Solutions for 7.5.8 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.ItssTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiaConcepts were developed during the 17th Century.The mathematicians had a problem related to multiple simultaneous linear equations and needed matrices and determinants.Some of the clay tablets are made from matrices which are still preserved.
The normal life has broader applications with this.In modern application the matrices are often used to solve complex problems using a computer.Predicting and model developments are used in the analytic problems.A lawyer and a mathematician came up with the word matrix in 17th century.Since the concept of matrix is new it had a strong application in mathematics.
In regards to organised cars in a parking area coconut trees in a farm land and storage of boxes in a storage area we can see matrices.The basis of the term is based on the form.This was used in the 17th century.The concept of determinants was widened by another mathematician.We can use matrices to write coefficients of equations.
Most corporates and educational institutions use excel spread sheet to represent data as matrices and it has wider application.Many of the dashboards designed 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 over the past 10 years in different states.The elements were distributed in rows and columns.We usually put a square brackets over the rows and columns to show that there is a matrix inside.
If there are A number of rows and B number of columns the size of the matrices is determined by multiplication.If a matrices has 10 rows and 5 columns then the size of the matrices is 50.A row matrix is a matrix that only has a single row.Column matrices have only a single column.The zero matrix is a type of matrices where the elements of the matrices are not 0.
It is also called null matrix.The square matrices have the same number of elements as column elements.A principal diagonal is represented by elements that fall in the diagonal line.There are different names.It is also called main diagonal or leading diagonal.
Unit matrix have values in the diagonal and the rest of the elements are all zero.All of the elements will have a value.The triangular matrix is a type of matrix that the square matrix can have.The triangular matrix is called if all the elements in the bottom of the diagonal are not zero.The only way to say that the two matrices are equal is if all the elements are equal.
If any of the elements are not the same or not in the same order it is referred to as an equal matrices.Adding multiplication and subtracting are some of the operations that we can do with matrices.The division of two matrices can't be accomplished.There are certain things that have to be satisfied before we can perform the operations.If we have to multiple a matrix with a constant then we need to put all the elements of the matrices together.
We can add and subtract matrices if both matrices have the same number of rows and columns.A+B of each of the elements of the matrices is determined by the addition of matrix A and matrix B.The A-B of each of the elements of the matrices is indicated by the addition 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 should add or subtract that matrix.In the result we need to say that adding or subtracting something is not possible.