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11 Samacheer Maths Solutions for 7.1.7 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.It it hasTrademarkiaIn the 17th century the concepts were well developed.The mathematicians were trying to solve a problem with multiple simultaneous linear equations.Some of the clay tablets created with the matrices which are still preserved are from the Babylonians era.
In the normal life this has wider applications.In modern applications the matrices are used to solve complex problems.Predicting and prescriptive model developments using matrices are included in the analytic problems.In the 17th century a lawyer and a mathematician created the word matrix.The concept of matrix was used a lot among the concepts of 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 can see matrices in common practise.The basis for the term has to do with the form.Gauss used this in 17th century.The concept of the determinants was expanded by another mathematician.The coefficients of the linear equations can be written using matrices.
In data is represented in excel spread sheet as a matrices and it has wider application in almost all corporates and educational institutions.Many of the dashboards developed for management decision making and operational analysis have tables with rows and columns.A table with years in the columns and states in the rows can be used to show the population in India for the past 10 years.The elements are distributed in two dimentionals as rows and columns.The rows and columns are usually covered with a square brackets to indicate that a matrix has formed.
The size of the matrices can be determined by the number of rows and columns in the matrices.The size of a matrices is 50 if there are 10 rows and 5 columns.row matrices are matrices that only have a single row.The matrices that only have one column are called column matrices.The zero matrices are a type of matrices where all the elements are zero.
It is also referred to as a null matrix.There are equal number of row elements and column elements in the square matrices.There are elements that fall in the diagonal line in a square matrix.There are several different names for the diagonal.It's also called diagonal main diagonal or leading diagonal elements.
The unit matrix have values in the diagonal and the rest of the elements are all zero.The elements will have their value as 1 in the diagonal elements.A triangular matrix is a type of matrix that can be found in the square matrix.If all the elements in the bottom of the diagonal are zero it is called the triangular matrix.If all the elements in the matrices are equal we can say that both matrices are equal.
If any of the elements are not the same or not in the same order it is called an equal matrix.Adding multiplication and subtracting can be done using algebric operations.It is not possible to division two matrices.There are certain things we need to be satisfied before we do the operations.If we have to multiple a matrix with a constant then we need to add all the elements of the matrices with the same element.
If the matrices have the same number of rows and columns we can add and subtract matrices.A+B of each of the elements of the matrices is indicated by the addition of matrix A with matrix B.A-B of each of the elements of the matrices is indicated by the subtraction of Matrix A with matrix B.We need to first determine 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 say in the result that adding or subtracting something is not possible.