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11 Samacheer Maths Solutions for 7.1.17 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 mathematics has to do with matrices and Determinants.ItTrademarkia hasTrademarkiaIn the 17th century the concepts were developed.When the mathematicians were trying to solve a problem with multiple simultaneous linear equations there was a need for matrices and determinants.Some of the clay tablets made with the matrices which are still preserved are from the Babylonians era.
The normal life has wider applications.In modern applications the matrices are used to solve complex problems.Prescriptive model developments using matrices are included in the analytics problems.The word matrix was created by a lawyer and mathematician in the 17th century.Since the concept of matrix was invented it had a powerful application in mathematics.
In terms of arranging 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 for the term is found in the form of a triangle.This was used by Gauss in the 17th Century.The idea of determinants was expanded by a mathematician.The coefficients of the linear equations can be written with matrices.
In data is represented in excel spread sheet as a matrices and it is used in almost all corporates and educational institutions.A lot of the dashboards developed for management decision making and operational analysis are in a matrix format with rows and columns.A table with years in the columns and states in the rows can be used to depict the population across India for the past 10 years.rows and columns are a rectangular array of elements distributed in two dimentionals.The rows and columns are usually covered by a square brackets to indicate that a matrix has been formed.
The size of the matrices can be determined by the number of rows and columns in them.The size of a matrices is determined by the number of rows and columns it has.row matrices are the matrices that only have one row.Column matrices are matrices with one column.The zero matrices are matrices where the elements are not 0.
It's also called void matrix or null matrix.The square matrices have the same number of column and row elements.The principal diagonal is represented by elements that are in the diagonal line.There are a number of names for the diagonal.It's also called a diagonal main diagonal or leading diagonal.
The values in the diagonal are the only ones in the unit matrix.All elements have a value of 1.The triangular matrix is a type of matrix.If all the elements in the bottom of the diagonal are zero then it is called the triangular matrix.If all the elements in the matrices are equal then we can say that the two matrices are equal.
If the elements are not the same or not in the same order it's called an equal matrix.Adding multiplication and subtracting are some of the operations we can do on the matrix.Only the division of two matrices is possibleThere are certain things that need to be satisfied before we perform the operations.If we have to multiple a matrix with a constant we need to add all the elements of the matrix with the same element.
If both of the matrices have the same number of rows and columns we can add and subtract them.The A+B of each element of the matrices is indicated by the addition of matrix A with matrix B.The A-B of the elements of the matrices can be seen in the subtraction of Matrix A with matrix B.We need to first confirm 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 mention in the result that such an addition is not possible.