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11 Samacheer Maths Solutions for 7.2.9

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11 Samacheer Maths Solutions for 7.2.9

7.2.9

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11 Samacheer Maths Solutions for 7.2.9

11 Samacheer Maths Solutions for 7.2.9 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.



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Exercise 7.2

  • 11 Samacheer Maths Solutions

    23 Solutions

Exercise 7.2.1

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11 Samacheer Maths Solutions

    Exercise 7.2.2

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      Exercise 7.2.3

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        Exercise 7.2.4

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          Exercise 7.2.5

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            Exercise 7.2.6

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              Exercise 7.2.7

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                Exercise 7.2.8

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                11 Samacheer Maths Solutions

                  Exercise 7.2.9

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                  11 Samacheer Maths Solutions

                    Exercise 7.2.10

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                    11 Samacheer Maths Solutions

                      Exercise 7.2.11

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                        Exercise 7.2.12

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                          Exercise 7.2.13

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                            Exercise 7.2.14

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                              Exercise 7.2.15

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                                Exercise 7.2.15.1

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                                  Exercise 7.2.15.2

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                                    Exercise 7.2.16

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                                      Exercise 7.2.17

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                                        Exercise 7.2.18

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                                          Exercise 7.2.19

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                                            Exercise 7.2.20

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                                              Exercise 7.2.21

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                                              11 Samacheer Maths Solutions

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                                                11 Samacheer Maths Solutions for 7.2.9

                                                Matrices and Determinants are one of the oldest concepts in mathematics.It has hasTrademarkiaConcepts were developed in the 17th Century.When the mathematicians tried to solve the problem with multiple simultaneous linear equations they needed matrices and determinants.Some of the clay tablets created with the matrices which are still preserved were from the Babylonians era.

                                                This has more applications in the normal life.In modern applications the matrices are used to solve complex problems using a computer.Predicting and prescriptive model developments are included in the analytics problems.A lawyer and a mathematician created the matrix in the 17th century.Since the concept of matrix was invented it had a strong 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 found in the quadratic form.This was invented by Gauss during the 17th century.The idea of determinants was expanded further by another mathematician.The coefficients of the linear equation can be calculated using matrices.

                                                In data is represented in excel spread sheet as matrices and it has wider application in almost all corporates and educational institutionsMany of the dashboards for management decision making and operational analysis are in a matrices format with tables that comprise of rows and columns.A table with years in the columns and states in the rows can be used to show the population of different states in India over the past 10 years.A matrix is a rectangular array of elements that are divided into rows and columns.The brackets are usually put over the rows and columns to show that the elements are in a matrix.

                                                The size of the matrices is determined by how many rows and columns there are.For a matrices with 10 rows and 5 columns the size is 50.The matrices that only have a single row are known as row matrices.Column matrices are matrices that only contain one column.The zero matrices are types of matrices where the elements of the matrices are not 0.

                                                It's also referred to as a null matrix.The square matrices have the same number of row elements as column elements.The elements that fall in the diagonal line can be represented in a square matrix.The names for the diagonal are varied.It is known as diagonal main diagonal or leading diagonal elements.

                                                The unit matrix has values only in the diagonal and the rest of the elements are all zero.All elements have value as 1 in the diagonal elements.A triangular matrix is a special type of matrix in the square matrix.The triangular matrix is called that if all elements in the bottom of the diagonal are zero.If all of the elements are equal we can say that the two matrices are equal.

                                                If any of the elements are not the same or not in the same order it's called a unequal matrices.Adding multiplication and subtraction can be done with algebric operations.The division of the two matrices is impossible.There are certain requirements to be satisfied before we perform any operations.If we have to multiple a matrix with a constant then we need to multiply all the elements of the matrices with the same element.

                                                If the matrices have the same number of rows and columns we can add and subtract the matrices.The A+B of each of the elements of the matrices is determined by the addition of matrix A and matrix B.The A-B of the elements of the matrices can be seen by the subtraction of Matrix A with matrix B.We need to confirm that the number of rows and columns of one matrix is the same as the number of rows and columns in the other matrix.We have to mention in the result that an addition or subtraction is not possible if not.