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11 Samacheer Maths Solutions for 7.2.20 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 metaphysics and determiningants.It has has hasIn the 17th century the concepts were well-developed.The mathematicians were trying to solve a problem with multiple simultaneous linear equations and needed matrices and determinants.Some of the clay tablets that were made with the matrices which are still preserved are from the Babylonians era.
This is in the normal life.In modern application the matrices are used to solve problems with a computer.Predicting and prescriptive model developments using matrices are included in the analytical problems.A lawyer and a mathematician used the word matrix in the 17th century.The concept of matrix is a powerful one in mathematics.
In relation to arranging 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 is found in the quadratic form.Gauss invented this in the 17th Century.A famous mathematician named Cauchy expanded the concept of determinants.matrices can be used to write a linear equation coefficients.
In data is represented in excel spread sheet as matrices and it is used in almost all corporate and educational institutions.Many of the dashboards developed for management decision making and operational analysis are in a matrices format with tables that include rows and columns.A table with years in the columns and states in the rows can be used to depict population across different states in India for the past 10 years.The rows and columns are distributed in two dimentionals.The rows and columns are usually covered with a square brackets to show that there is a matrix within them.
The size of the matrix is determined by the number of rows and columns in it.If there are 10 rows and 5 columns in a matrices then the size is 50.The matrix that has a single row is called a row matrix.The matrix that only has one column is called a column matrix.The zero matrices are a type of matrices where all elements are not 0.
It can also be called a null matrix.Equal number of row elements and column elements are in the square matrices.The principal diagonal can be represented by elements that fall in the diagonal line in a square matrix.The principal diagonal has a different name.It is also called diagonal main diagonal or leading diagonal elements.
The unit matrix have values in the diagonal and the rest of the elements are not.The elements will have a value of 1 in the diagonal ones.A 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 what it is.If the elements of the matrices are equal we can say that both are equal.
If any of the elements are not the same or not in the same order then it is called a unequal matrices.We can do algebric operations on multiplication.The division of two matrices is not feasible.It is necessary to be satisfied before we can perform the operations.If we have a matrix with a constant then we need to add the elements of the matrix together.
We can add or subtract matrices if they have the same number of rows and columns.The A+B of the elements of the matrices are indicated by the addition of matrix A and matrix B.The addition of matrix A with matrix B shows A-B of the elements of the matrices.If the number of rows and columns of one matrix is the same as the number of rows and columns in the other matrix then we can add or subtract matrices.In the result we need to mention that adding or subtracting is not possible.