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11 Samacheer Maths Solutions for 7.2.2 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 the matrix and Determinants.ItTrademarkia has hasThe ideas were developed in the 17th Century.When mathematicians were trying to solve a problem with multiple simultaneous linear equations they needed matrices and determinants.Some of the clay tablets that were made with the matrices which are still preserved are from the Babylonians era.
This can be utilized in the normal life.The matrices are used in modern applications to solve problems.Predicting and modelling using matrices are included in the analytic problems.The word matrix was written by a lawyer and a mathematician in the 17th century.Since the concept of matrix was invented it had a powerful application among the concepts of mathematics.
In terms of organised cars in a parking area coconut trees in a farm land and boxes in a storage area we can see matrices in common practise.The basis for the term is the form of the quadrangular form.Gauss came up with the idea of this in the 17th century.The concept of determinants was changed by another mathematician.We can use matrices to write the linear equation coefficients.
In data is represented in excel spread sheet as matrices and it is used in almost all corporates and educational institutionsMany of the dashboards developed for management decision making and operational analysis are in a matrices format with tables with rows and columns.A table with years in the columns and states in the rows can show the population of India over the past 10 years.The elements in matrices are distributed in rows and columns.We usually put a square brackets over the rows and columns to show that the elements within the brackets form a matrix.
If the matrices have A number of rows and B number of columns the size of the matrices is determined by the multiplication of A * B.If a matrix has 10 rows and 5 columns the size is 50.The matrices that only have one row are referred to as row matrices.The matrices that have one column are called column matrices.The zero matrices are a type of matrices where all the elements of the matrices are 0.
It's also called a void matrix or a null matrix.The matrices have the same number of row and column elements.The principal diagonal in a square matrix is represented by elements that are in the diagonal line.The names for the diagonal are not the same.It's also called a diagonal a main diagonal or a leading diagonal.
The rest of the elements are all zero in unit matrix which have values only in the diagonal.All the elements have value as 1 in the diagonal elements.A triangular matrix is called a square matrix.The triangular matrix is called when all the elements in the bottom of the diagonal are zero.If all the elements in the matrices are equal then both matrices are equal.
If any element isn't the same or not in the same order it's called a unequal matrix.Adding multiplication and subtracting are some of the operations that we can do on matrices.The division of two matrices are not possible.There are certain things we need to be satisfied before we can do the operations.If we have a matrix with a constant we need to add all the elements of the matrix with the same element.
Adding and subtracting matrices can be done if the matrices have the same number of rows and columns.The A+B of the elements of the matrices indicates the addition of matrix A with matrix B.The A-B of elements of the matrices is indicated by the subtraction of Matrix A with matrix B.We need to first confirm whether the number of rows and columns of one matrix is the same as the number of rows and columns in the other matrix.In the result we need to state that adding or subtracting is not possible.