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11 Samacheer Maths Solutions for 7.2.15.2 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 conjugates and determiningants.It has hasTrademarkiaThe concept was well developed in the 17th Century.When mathematicians tried to solve the problem of multiple simultaneous linear equations they needed matrices and determinants.Some of the clay tablets created with these matrices are still preserved.
This is an application in the normal life.The matrices are used in modern application to solve complex problems.Predictive model developments using matrices are part of the analytic problems.In the 17th century there was a lawyer and a mathematician who came up with the word matrix.The concept of matrix has a strong application to mathematics.
In terms of arranging cars in a parking area coconut trees in a farm land and storing boxes in a storage area we can see matrices in common practise.The basis of the term determinants is found in the form of the quadratic form.Gauss used this in the 17th Century.The idea of determinants was further expanded by another mathematician.We can use matrices to write the equation's coefficients.
Almost all corporates and educational institutions use excel spread sheet in their data representation.A lot of the dashboards developed for management decision making and operational analysis are in a matrices format with rows and columns.A table with years in the columns and states in the rows can be used to depict the population for the past 10 years.A matrix is a rectangular array of elements.We usually put a square brackets over the rows and columns to show that a matrix has been formed.
The size of the matrices is determined by the number of rows and columns of the matrices.The size of the matrices is 50 if 10 rows and 5 columns are included.row matrices are matrices that have only one row.Column matrices are matrices that only contain a single column.The zero matrices are matrices with all elements being 0.
The name is void matrix or null matrix.The number of row elements and column elements is equal in the square matrices.There are elements in a square matrix that fall in the diagonal line.There were different names for the diagonal.It's also called a diagonal main diagonal or leading diagonal element.
The unit matrix has only the values in the diagonal and the rest of the elements are all zero.The elements will have the same value as 1 in the diagonal elements.A triangular matrix is a type of matrix in the square matrix.If all the elements in the bottom of the diagonal are zero in the square matrix it's called the triangular matrix.If all the elements in the matrices are the same we can say that the two matrices are equal.
If any of the elements isn't the same or not in the same order it's called a unequal matrices.Adding multiplication and subtracting are some of the operations that we can do on mathematics.There is no way to division two matrices.There are certain things we must be satisfied with before we perform the operations.If we have to make a matrix with a constant then we need to make a matrix with all elements in it.
If both matrices have the same number of rows and columns we can do addition and subtraction.A+B of each of the elements of the matrices is indicated by the addition of matrix A and matrix B.A-B of each of the elements of the matrices is indicated by the addition 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 the other matrix then we need to add or subtract them.We need to mention that an addition or subtraction is not possible if not.