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11 Samacheer Maths Solutions for 7.1.13 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 matrices and Determinants.ItTrademarkia hasTrademarkiaIn the 17th century the concepts were well developed.The mathematicians had a problem with multiple simultaneous linear equations and needed matrices and determinants.Some of the clay tablets that were made with the matrices that are still preserved are from the Babylonians era.
It has applications in the normal life.The matrices are used in modern applications to solve problems using a computer.Predictable model developments using matrices are included in the analytics problems.The word matrix was invented by a lawyer in association with a mathematician.The concept of matrix was used in a powerful way in 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 practice.The basis for the term determinants can be found in the form of the quadrangular form.Gauss created this in the 17th century.The concept of determinants has been expanded by another mathematician.The coefficients of the equation can be written using matrices.
Almost all corporates and educational institutions use excel spread sheet as a matrix to represent in data.Many of the dashboards for management decision making and operational analysis are in matrices format with rows and columns.A table with years in the columns and states in the rows can be used to depict the population over the past 10 years.rows and columns are part of the matrix a rectangular array of elements distributed in two dimentionals.We usually put a square brackets over the rows and columns to indicate that there is a matrix.
If the matrices have A number of rows and B number of columns then the size of the matrices is determined by multiplication.If there are 10 rows and 5 columns in a matrices the size is 50.The matrices with only one row are called row matrices.Column matrices are the matrices that have a single column.The zero matrices are matrices where all elements are zero.
It is referred to as a null matrix.The square matrices have the same amount of row elements and column elements.The principal diagonal of a square matrix is represented by elements that fall in the diagonal line.There are different names for diagonals.It's also referred to as main diagonal or leading diagonal elements.
The rest of the elements are all zero in a unit matrix.All the elements have a value of 1.triangular matrix is a special type of matrix found in the square matrix.If all the elements in the bottom of the diagonal are zero then the triangular matrix is called a square matrix.If all the elements of the matrices are equal we can say that the two matrices are not equal.
If any of the elements are not the same or not in the same order then it is called an equal matrix.Adding subtracting and multiplication are some of the operations we can do.Only the division of the two matrices is possible.There are certain things that need to be satisfied before we do the operations.If we have to multiple a matrix with a constant 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 them.The A+B of the elements of the matrices is shown by the addition of matrix A with matrix B.The A-B of each element of the matrices is indicated by the subtraction 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 those matrices.We need to mention in the result that such an addition or subtraction is not possible.