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11 Samacheer Maths Solutions for 7.1.8 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.
They are one of the oldest concepts in mathematics.ItTrademarkia hasTrademarkiaIn the 17th century the concepts were developed.When the mathematicians tried to solve the problem of multiple simultaneous linear equations they needed matrices and determinants.Some of the clay tablets that were created with the matrices that are still preserved are from the Babylonians era.
There are bigger applications in the normal life.In modern applications the matrices are used to solve problems using a computer.Predicting model developments using matrices are included in the analytic problems.The matrix was invented by a lawyer and a mathematician in the 17th century.The concept of matrix was used in a powerful way among the concepts of mathematics.
In relation to organised 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 for the term can be found in the form of the quadratic form.Gauss came up with this in 17th century.The concept of determinants was expanded further by another mathematician.The coefficients of linear equation can be written using matrices.
Data is represented in excel spread sheet as matrices and is used in almost all corporates and educational institutions.A lot of the dashboards 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 in different states for the past 10 years.The elements are in rows and columns.We usually put a square brackets over the rows and columns to indicate that a matrix has been formed.
The size of the matrices is determined by multiplication of A * B if there are A number of rows and B number of columns.If there are 10 rows and 5 columns then the size of the matrices is 50.row matrices are the matrices that only have a single row.Column matrices are matrices that have a single column.The zero matrices are matrices where all the elements are 0.
It's also known as a void matrix or null matrix.The square matrices have the same number of rows and columns.The elements that fall in the diagonal line are represented by the principal diagonal in a square matrix.There are many names for the diagonal.It's also called a diagonal main diagonal or leading diagonal elements.
The unit matrix only has values in the diagonal and the rest of the elements are all zero.All the elements have a value of 1 in the diagonal elements.The triangular matrix is a type of matrix found in the square matrix.The triangular matrix is called if the elements in the bottom of the diagonal are zero.If all the elements are equal we can say that the two matrices are equal.
If any element is not the same or not in the same order it is called an equal matrices.Adding multiplication and subtracting are some of the algebric operations that we can do.It's not possible to division two matrices.There are certain things that need to be satisfied before we can perform the operations.If we have to multiple a matrix with a constant then we need to add all the elements of the matrix with the same element.
If both the matrices have the same number of rows and columns we can add and subtract matrices.The A+B of each of the elements of the matrices is determined by the addition of matrix A with matrix B.A-B of the elements of the matrices are indicated by the subtraction 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 the matrices.We need to mention in the result that an addition or subtraction is not possible.