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11 Samacheer Maths Solutions for 7.2.10 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 has to do with matrices and Determinants.It hasTrademarkia hasIn the 17th Century the concepts were well developed.The mathematicians needed matrices and determinants when they were trying to solve the problem of multiple simultaneous linear equations.Some of the clay tablets they created with the matrices which are still preserved are from the Babylonians era.
This applies to the normal life.The matrices are used to solve complex problems using computers.Predicting and prescriptive model developments using matrices are part of the analytic problems.In the 17th century a lawyer and a mathematician came up with the idea of a matrix.The concept of matrix was invented and has a powerful application in mathematics.
In terms of arranging 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 can be found in the form of a quadrangular form.It was invented by Gauss in the 17th century.The concept of determinants was further expanded by another famous mathematician.The linear equation coefficients can be written with matrices.
In data is represented in excel spread sheet as a matrices and it is used in almost all corporates and educational institutionsA lot of the dashboards developed 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 show the population across India over the past 10 years.There is a rectangular array of elements distributed in rows and columns.We usually put a square brackets over the rows and columns to show that the elements in the brackets form a matrix.
The size of the matrices is determined by the amount of rows and columns in the matrices.The size of the matrices is 50 when there are 10 rows and 5 columns.row matrices are the matrices that have only one row.Column matrices are the matrices with a single column.The zero matrices are matrices where all of the elements are zero.
It is known as a void matrix or null matrix.The square matrix has the same number of row elements and column elements.The elements that fall in the diagonal line represent the principal diagonal of the square matrix.There are some different names for the diagonal.It's called diagonal main diagonal or leading diagonal elements.
The rest of the elements are all zero in the unit matrix which has values only in the diagonal.The elements will have a value as 1 in the diagonal elements.The triangular matrix is a type of matrix that is square.In the triangular matrix if all the elements in the bottom of the diagonal are zero it is called a square matrix.If all elements of the matrices are equal we can say that the two matrices are not equal.
If any element 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 we can do.A division of two matrices is not possible.There are certain things we need to be satisfied with before performing the operations.If we have to multiple a matrix with a constant we need to add all the elements of the matrices together.
If both matrices are having the same number of rows and columns we can add and subtract them.The addition of matrix A with matrix B shows A+B of each of the elements.The A-B of the elements is indicated by the subtraction of Matrix A with matrix B.We need to verify if the number of rows and columns in one matrix is the same as the number of rows and columns in the other matrix.In the result we need to mention that an addition or subtraction is not possible.