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11 Samacheer Maths Solutions for 7.1.21 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 the matrix and determiningants.It has hasTrademarkiaThe concepts were well-developed in the 17th century.When mathematicians tried to solve the problem with multiple simultaneous linear equations they needed matrices and determinants.Some of the clay tablets made with the matrices which are still preserved can be traced back to the Babylonians era.
The normal life has wider applications for this.The matrices are used in analytic applications to solve complex problems.Predictor and model developments using matrices are included in the analytic problems.The word matrix was created in the 17th century by a lawyer and a mathematician.The concept of matrix was used a lot 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.The basis of the term is found in the form of the quadratic form.This was introduced by Gauss in the 17th century.The concept of the determinants was expanded by another famous mathematician.The coefficients of linear equation can be written with matrices.
Most corporates and educational institutions use excel spread sheet to represent in data.Many of the dashboards developed for management decision making and operational analysis have tables with rows and columns in a matrices format.A table with years in the columns and states in the rows can show the population in different states for the past 10 years.There is a rectangular array of elements in rows and columns.The brackets are usually put over the rows and columns to indicate that a matrix has formed.
The size of the matrices is determined by the number of columns and rows in the matrices.If a matrices has 10 rows and 5 columns then the size is 50.Row matrices are matrices that have a single row.Column matrices are the matrices with only one column.The zero matrices are a type of matrices where all elements of the matrices are 0.
It is called a null Matrix.Equal number of row elements and column elements can be found in the square matrices.A square matrix has a principal diagonal that is represented by elements that fall in the diagonal line.There are many different names for this diagonal.It is also referred to as diagonal main diagonal or leading diagonal elements.
The unit matrix have values in the diagonal and the rest of the elements are zero.All elements in the diagonal will have a value.A triangular matrix is found in the square matrix.If all the elements in the bottom of the diagonal are zero it is called a triangular matrix.If all the elements in the matrices are equal there is no need to compare the two matrices.
If any of the elements isn't the same or not in the same order it's called an equal matrix.Adding subtracting and multiplication can be done with algebric operations.The division of the two matrices is not possible.There are certain conditions that must be satisfied before we can perform the operations.If we have to multiple a matrix with a constant then we need to add up all the elements of the matrices.
If the two 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 indicated by the addition of matrix A and matrix B.The A-B of the elements of the matrices is indicated by the multiplication 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 can add or subtract matrices.We need to mention in the result that adding or subtracting is not possible.