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11 Samacheer Maths Solutions for 7.5.11 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 conjugates.ItTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiasTrademarkiaThe ideas were developed during the 17th Century.There was a need for matrices and determinants when the mathematicians were trying to solve a problem.Some of the clay tablets created with the matrices that are still preserved were created in the Babylonians era.
The normal life has this application.The matrices are used in modern applications to solve problems using computers.Predicting and models using matrices are included in the analytic problems.In the 17th century a lawyer and a mathematician came up with the idea for the word matrix.There was a powerful application of the concept of matrix in mathematics.
In terms of storing boxes in a storage area coconut trees in a farm land and arranging cars in a parking area we can see matrices in common practise.The basis of the term is found in the form of a quadrangular form.Gauss was the creator of this in 17th century.Another famous mathematician expanded on the idea of determinants.We can use matrices to write the coefficients of linear equation.
In data is represented in excel spread sheet as matrices and is used in almost all corporate and educational institutions.Many of the dashboards developed for management decision making and operational analysis are in a matrices format with tables that comprise rows and columns.A table with years in the columns and states in the rows can be used to show the population in different states for the past ten years.There is a rectangular array of elements in two dimentional rows and columns.We usually put a square brackets over the rows and columns to show that there is a matrix within them.
If there are A number of rows and B number of columns then the size of the matrices is determined by the number of rows and columns.If there are 10 rows and 5 columns in a matrices the size of the matrices is 50.The rows of the matrices are called row matrices.Column matrices are the matrices that do not have more than one column.The zero matrices are matrices with all elements zero.
It is referred to as a void matrix.There are square matrices that have the same number of elements.There is a principal diagonal in a square matrix that is represented by elements that fall in the diagonal line.The names of the diagonal are different.Diagonal main diagonal or leading diagonal elements are what it is also called.
The unit matrix have values in the diagonal and the rest are all zero.All elements in the diagonal will have a value of 1.The triangular matrix is found in the square matrix.If all the elements are zero in the bottom of the diagonal it's called the triangular matrix.If all of the elements in the matrices are equal then the two matrices are not equal.
If any of the elements are not the same or not in the same order it is referred to as an equal matrix.Adding multiplication and subtracting are some of the operations we can do with math.There is only the division of two matrices.There are certain things we need to be satisfied with before we do any operations.If we have to multiple a matrix with a constant we need to multiply all the elements of the matrices with a single element.
If the matrices have the same number of rows and columns we can add and remove them.In that case the addition of matrix A with matrix B shows A+B of each of the elements of the matrices.The A-B of the elements of the matrices can be seen in the subtraction of matrix A with matrix B.If the number of rows and columns in one matrix is the same as the number of rows and columns in the other matrix we need to add or subtract the matrix.In the result we need to mention that such an addition or subtraction is not possible.