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11 Samacheer Maths Solutions for 7.2.1 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 is matrix and determiningants.It has hasTrademarkiaThe 17th Century saw the development of the concepts.The mathematicians needed matrices and determinants when they were trying to solve the problem.Some of the clay tablets that were created with the matrices which are still preserved are from the Babylonians era.
The normal life has more applications with this.The matrices can be used to solve problems using a computer.Predicted 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 had a strong application in mathematics.
In relation 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 in practise.The term determinants is based on the quadratic form.In the 17th century this was used by Gauss.Another famous mathematician expanded the idea of determinants.We can use matrices to write a linear equation coefficients.
Almost all corporates and educational institutions use excel spread sheet as a matrix for their data.Many of the dashboards that are developed 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 show the population of different states over the past 10 years.There is an array of elements in rows and columns.The rows and columns are usually covered with a square brackets to indicate that there is a matrix within them.
The size of the matrices depends on the number of rows and columns in them.The size of the matrices is determined by the number of rows and columns it has.Row matrices are matrices with only a single row.The matrices that have only one column are called column matrices.The zero matrices are a type of matrices in which all the elements are 0.
It is also called a void matrix or null matrix.The square matrices have the same number of row elements and columns.A square matrix has a principal diagonal that is represented by elements that are in the diagonal line.There are different names for it.Diagonal main diagonal or leading diagonal elements are what it's called.
The unit matrix has the values in the diagonal and the rest of the elements are all zero.All elements have a value as 1 in the diagonal elements.triangular matrix is a type of matrix that is in the square matrix.If all the elements in the bottom of the diagonal are zero then the triangular matrix is called square matrix.If all of 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 a unequal matrices.Adding multiplication and subtracting are some of the algebric operations we can perform.Only the two matrices can be divided.There are certain things we need to be satisfied before we can perform the operations.If we have to multiple a matrix with a constant then we need to add the elements of the matrix together.
If both the matrices have same number of rows and columns we can add and subtract them.Each element of the matrices is indicated by the addition of matrix A with matrix B.The A-B of each of the elements of the matrix is indicated by the subtraction of Matrix A with matrix B.We need to know if the number of rows and columns in one matrix is the same as the number of rows and columns in the other matrix.We need to mention in the result that it's not possible to add or subtract.