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11 Samacheer Maths Solutions for 7.1.10 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.
It's one of the oldest concepts in mathematics.It was found in the 2nd and 4th century BC.The concepts were well developed during the 17th century.When the mathematicians tried to solve a problem related to multiple simultaneous linear equations there was a need for matrices and determinants.Some of the clay tablets that were created with the matrices are still preserved.
There are larger applications in the normal life.In modern applications the matrices are used to solve complex problems using a computer.Predicting and model developments using matrices are included in the analytical problems.The word matrix was formed by a lawyer and a mathematician in the 17th century.Since the concept of matrix was invented it had a powerful application in mathematics.
In relation to 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 basis for the term is the form.This was invented in the 17th century by Gauss.The concept of determinants was also expanded by another mathematician.The coefficients of the linear equation are written using matrices.
Most corporates and educational institutions use excel spread sheet as a matrix to represent in data.A lot of the dashboards for management decision making and operational analysis are in 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 in India for the past 10 years.There are rows and columns of elements distributed in two dimentionals.We usually put a square brackets over the rows and columns to show that there is a matrix within it.
If the matrices have A number of rows and B number of columns then the size of the matrices is determined by the multiplication of A * B.The size of the matrices is determined by the number of rows and columns in them.Row matrices are matrices that only have a single row.The matrices that only have a single column are called column matrices.The zero matrices are matrices where all the elements are zero.
It's also called a void matrix.The square matrices have the same amount of row and column elements.Elements that fall in the diagonal line represent the principal diagonal in a square matrix.Different names are given to the diagonal.It's also called a main diagonal or leading diagonal.
The rest of the elements are all zero in the unit matrix which only has values in the diagonal.All elements will have a value of 1.A triangular matrix is a type of matrix that is square.If all the elements in the bottom of the diagonal are zero the triangular matrix is called a square matrix.If all the elements in the matrices are equal then we can say that both are equal.
If any element is not the same or not in the same order then it is called an equal matrices.In addition multiplication and subtraction are some of the operations we can do.Only the division of two matrices can be accomplished.There are certain things we need to be satisfied with before we can perform the operations.If we have to use a constant then we need to use the elements of the matrix with it.
If both the matrices have the same number of rows and columns we can add and subtract them.A+B of the elements of the matrices are indicated by the addition of matrix A with matrix B.The A-B of the elements of the matrices are indicated by the subtraction of matrix A with matrix B.We need to verify 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 need to state in the result that an addition or subtraction is not possible.