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11 Samacheer Maths Solutions for 7.2.12 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 the conjugates and determiningants.The traces can be found in the 2nd and 4th century BC.The concepts were well developed by the 17th century.When the mathematicians were trying to solve a problem related to multiple simultaneous linear equations there was a need for matrices and determinants.Some of the clay tablets created with the matrices which are still preserved have traces to the Babylonians era.
In the normal life this has bigger applications.The matrices are used in modern applications to solve complex problems with a computer.Predictive model developments using matrices are included in the analytic problems.The matrix is a word that was created by a lawyer and a mathematician in the 17th century.The concept of matrix was a powerful example of a mathematics concept.
In relation to 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 may be found in the form of the quadratic form.This was uttered by Gauss in the 17th century.The idea of determinants was also expanded by another mathematician.The coefficients of equations can be written using matrices.
Most corporates and educational institutions use excel spread sheet as a matrix for in data.Many of the dashboards created for management decision making and operational analysis are in a matrices format with rows and columns.A table with years in the columns and states in the rows can be used to show the population of India for the past decade.The matrix is a rectangular array of elements distributed in two dimentionals.The rows and columns are usually covered with a square brackets to show that there is a matrix.
The size of the matrices is determined by multiplication of a number of rows and columns.If a matrices has 10 rows and 5 columns the size is 50.Row matrices are matrices with only one row.The matrices with one column are called column matrices.The zero matrices are a type of matrices where none of the elements are 0.
It is referred to as a null Matrix.The square matrices have an equal amount of row and column elements.A square matrix can have a principal diagonal which is represented by elements that fall in the diagonal line.There are several different names for this diagonal.It's also called a diagonal or main diagonal.
The unit matrix only has values in the diagonal the rest of the elements are all zero.All of the elements have the same value as 1 in the diagonal elements.The square matrix can have a triangular matrix.The triangular matrix is called this if all of the elements in the bottom of the diagonal are zero.If all elements in the matrices are equal we can say that both matrices are equal.
If any of the elements are not the same or not in the same order it's a matrix.Adding multiplication and subtracting are some of the operations we can perform on Matrices.Only the division of two matrices is able to be done.There are certain things that must be satisfied before we do the operations.If we have a matrix with a constant then we need to add all elements of the matrix with the same element.
If the matrices have the same number of rows and columns we can add and subtract them together.Adding matrix A with matrix B shows the A+B of the elements of the matrices.The elements of the matrices are indicated by the subtraction of Matrix A with matrix B.We need to 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.We need to state in the result that such an addition is not possible.