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11 Samacheer Maths Solutions for 7.5.10 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 the history of Mathematics is matrices and Determinants.In the 2nd and 4th century BC there were traces.During the 17th century the concepts were well developed.When the mathematicians tried to solve the problem they needed matrices and determinants.Some of the clay tablets were created from the matrices which are still preserved.
In the normal life this application has wider applications.The matrices are used to solve complex problems.Predicting model developments using matrices are included in the analytical problems.In the 17th century a lawyer and a mathematician came up with the concept of a matrix.The concept of matrix was invented so that it could be applied to the concepts of mathematics.
In terms of organised cars in a parking area coconut trees in a farm land and the storage of boxes in a storage area we can see matrices in common practise.The term determinants is based on the form of the quadratic form.This was created in 17th century by Gauss.The concept of determinants expanded by another mathematician.The coefficients are written using matrices.
In data is represented in excel spread sheet as matrices and it has wider application in almost all corporations and educational institutions.A lot of the dashboard 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 show the population over the past 10 years.A matrix is a rectangular array of elements distributed in two dimentionals as rows and columns.The rows and columns are usually covered with a square brackets to indicate that there is a matrix within.
If the matrices have a number of rows and columns then the size of the matrices is determined by the number of rows and columns.If a matrix has 10 rows and 5 columns the size is 50.The matrix that only has a single row is called row matrices.Column matrices are matrices that don't have any more than a single column.The zero matrices are a type of matrices where all elements of the matrices are zero.
It is also known as a null matrix or void matrix.There are equal number of row elements and column elements in square matrices.A square matrix has a principal diagonal which is represented by elements that are in the diagonal line.There are many different names for the diagonalThe elements are called diagonal main diagonal or leading diagonal.
The unit matrix have their values in the diagonal and the rest of the elements are all zero.The elements will have a value of 1 in the diagonals.A triangular matrix is a special type of matrix for the square matrix.If all the elements in the bottom of the diagonal are zero the triangular matrix is called square matrix.If all the elements in the matrices are equal we can say that the two matrices are not equal.
If any of the elements isn't the same or not in the same order then it's a matrices.Adding multiplication and subtracting are some of the operations we can do on a matrix.Only the division of two matrices is possible in this case.There are certain things that have to be satisfied before we can do the operations.If we have to multiple a matrix with a constant then we need to multiply the elements of the matrices.
If both matrices have the same number of rows we can add and subtract them.The A+B of the elements of the matrices can be seen by the addition of matrix A and matrix B.The subtracting 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 of the other matrix we need to add or subtract the matrices.If not we need to say in the result that adding or subtracting something is not possible.