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11 Samacheer Maths Solutions for 7.2.19 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.
The concept of matrices and Determinants has been around for a long time.ItTrademarkia has hasBut the concepts were developed in the 17th century.When mathematicians tried to solve a problem with multiple simultaneous linear equations they needed matrices and determinants.Some of the clay tablets created with the matrices which are still preserved can be found here.
This has broader applications in the normal life.In modern applications the matrices are used to solve problems.Predicting and model developments are part of the analytic problems.The word matrix was first created by a lawyer and a mathematician in the 17th century.The application of the matrix concept in mathematics was powerful.
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 practise.The basis for the term can be found in the form of a quadratic form.In 17th century this was used by Gauss.Another famous mathematician expanded the concept of the determinants.We can use matrices to calculate the coefficients of equations.
Most corporates and educational institutions use excel spread sheet as a matrix to represent their data.Many of the dashboards 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 show the population in different states for the past decade.The elements are distributed into rows and columns.We put a square brackets over the rows and columns to show that the elements are in a matrix.
The size of the matrices is determined by the number of rows and columns on the matrices.If the matrices have 10 rows and 5 columns then the size is 50.Row matrices are matrices that have one row.Column matrices are matrices that do not have any more than one column.The zero matrices are matrices in which all elements are zero.
It's also known as Void Matrix or null Matrix.A square matrix has the same number of row elements and column elements.There can be elements that fall in the diagonal line in a square matrix.There are several different names for that diagonal.It's also known as a diagonal main diagonal or leading diagonal elements.
The rest of the elements are zero in the unit matrix which has values only in the diagonal.All elements will have the same value.A triangular matrix is a type of square matrix.The triangular matrix is the square matrix if all the elements in the bottom of the diagonal are zero.If all of the elements in the matrices are equal then both are equal.
If any element isn't the same or not in the same order then it's called a unequal matrix.Adding multiplication and subtracting are some of the operations we can perform.The division of two matrices isn't doable.There are certain things we must be satisfied with before we do the operations.If we have to multiple a matrix with a constant then we need to add all elements of the matrix with the same element.
If both the matrices have the same number of rows and columns then we can add and subtract matrices.The addition of matrix A with matrix B shows A+B of the elements.The A-B of the elements of the matrices are indicated by the subtraction of Matrix A with Matrix B.If the number of rows and columns in one matrix is the same as the number of rows and columns in another matrix we need to add or subtract them.We need to mention in the result that adding or subtracting something is not possible if not.