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11 Samacheer Maths Solutions for 7.2.6 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 field of mathematics is matrices and Determinants.It hasTrademarkia hasThe 17th Century was when the concepts were developed.When the mathematicians tried to solve a problem with multiple simultaneous linear equations the need for matrices and determinants came up.Some of the clay tablets created with the matrices that are still preserved can be traced back to the Babylonians era.
In the normal life this has applications.In today's application the matrices are used to solve problems using a computer.Predicting and model developments using matrices are used in the analytic problems.The word matrix was first used by a lawyer and a mathematician in the 17th century.The concept of a matrix has a powerful application in mathematics.
When it comes 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 in common practise.The basis for the term is made up of two forms.This was said by Gauss in the 17th century.The concept of determinants was expanded by anotherenowned mathematician.The coefficients of the equation can be written with matrices.
Most corporates and educational institutions use excel spread sheet to represent data as matrices.Many of the dashboards for management decision making and operational analysis have tables with rows and columns.A table with years in the columns and states in the rows can be used to depict the population of different states for the past 10 years.There are rows and columns in a matrix.We usually put a square brackets over the rows and columns to indicate that a matrix has formed.
If the matrices have A number of rows and B number of columns then the size of the matrices is determined by multiplication of A * B.The size of the matrices should be 50 if the matrices have 10 rows and 5 columns.The matrices with one row are called row matrices.Column matrices are matrices that have just one column.The zero matrices are a type of matrices where the elements are zero.
It's also called the null matrix.The square matrices have the same number of elements as the row and column elements.The principal diagonal is represented by elements in the diagonal line.Different names for the diagonal.It's also known as main diagonal or leading diagonal elements.
The unit matrix has values only in the diagonal and the rest of the elements are blank.In the diagonal elements all the elements have the same value.The triangular matrix is a special type of square matrix.If all the elements in the bottom of the diagonal are zero then it's called a triangular matrix.If all the elements in the matrices are equal then we can say that the two matrices are not equal.
If any of the elements are not the same or not in the same order then it is called a unequal matrix.In addition multiplication and subtraction are some of the operations that we can do.Only the division of the two matrices can be done.Before we perform the operations there are certain requirements to be satisfied.If we have to multiple a matrix with a constant then we need to add all elements of the matrices with the same element.
If the matrices have the same number of rows and columns then we can add and subtract them.The addition of matrix A with matrix B shows the A+B of each of the elements of the matrices.The A-B of the elements of the matrix is 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 those matrices.If not we need to say in the result that it is not possible.