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11 Samacheer Maths Solutions for 7.2.11 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 matrices and Determinants.It hasTrademarkia hasThe concepts were well developed in the 17th Century.When the mathematicians tried to solve the problem of multiple simultaneous linear equations with matrices and determinants they needed them.Some of the clay tablets were made with matrices which are still preserved.
This may be used in the normal life.The matrices can be used to solve complex problems with a computer.Predicting and model development using matrices are included in the analytic problems.The word matrix was invented by a lawyer and a mathematician.There was a powerful application of the concept of matrix among the concepts of mathematics.
In terms of organised cars in a parking area coconut trees in a farm land and storage boxes in a storage area we can see matrices in common practise.The basis for the term determines the form.This was created by Gauss in the 17th Century.The concept of determinants was also expanded by another famous mathematician.The coefficients of the equations are written using matrices.
Almost all corporates and educational institutions use excel spread sheet as a matrices to represent in data.A lot of the dashboards developed for management decision making and operational analysis are also in a matrices format with rows and columns.A table with years in the columns and states in the rows is enough to show the population of India for the past 10 years.There are two dimentional rows and columns in the matrix.We usually put a square brackets over the rows and columns to tell us if there is a matrix.
The size of the matrices can be determined by the number of rows and columns in the matrix.The size of a matrix is 50 if there are 10 rows and 5 columns.The row matrices are the ones with only a single row.Column matrices are matrices with just a single column.The zero matrices are a type of matrices with zero elements.
It's also known as a null Matrix.equal number of row elements and column elements are found in the square matrices.The principal diagonal in a square matrix is represented by elements in the diagonal line.Different names are used for the diagonal.It's also called a main diagonal or leading diagonal element.
The unit matrix have values only in the diagonal and the rest of the elements are not.All the elements will have a value of 1.triangular matrix is a special type of matrix that is found in the square matrix.The triangular matrix is defined as if all the elements in the bottom of the diagonal are zero.If all the elements in the matrices are the same we can say that both are equal.
If any of the elements isn't the same or not in the same order then it's called an equal matrix.Adding multiplication and subtracting are some of the operations that we can do on matrixes.Only the division of two matrices can be achieved.There are certain preconditions to be satisfied before we do the operations.If we have a matrix with a constant we need to add all the elements together.
If both the matrices have the same number of rows and columns we are able to add and subtract them.The addition of matrix A with matrix B indicates A+B of each of the elements of the matrices.The A-B of each of the elements of the matrices is indicated by the removal 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 then we need to add or subtract it.In the result we need to say that an addition or subtraction is not possible.