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11 Samacheer Maths Solutions for 7.4.5 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 math is matrices and Determinants.ItTrademarkiaThe concepts were developed before the 17th century.There was a need for matrices and determinants when mathematicians tried to solve a problem with multiple simultaneous linear equations.Some of the clay tablets created with the matrices that are still preserved are from the Babylonian era.
This has many applications in the normal life.The matrix is used to solve complex problems using a computer.Predicted model developments using matrices are included in the analytics problems.The word matrix was created in 17th century by a lawyer and a mathematician.The application of the concept of matrix was powerful.
In terms of organised cars in a parking area coconut trees in a farm land and storage of boxes in a storage area we can see matrices in common practices.The basis for the term determinants can be found in the form of a quadrangular form.This was started by Gauss in the 17th century.The determinants concept was expanded by another mathematician.The coefficients of linear equation are written using matrices.
Data is represented in excel spread sheet as matrices and is used in almost all corporates and educational institutionsA lot of the dashboards developed for management decision making and operational analysis are in a matrices format with tables that are rows and columns.A table with years in the columns and states in the rows can be used to depict the population of different states over the past 10 years.A matrix is a rectangular array of elements distributed in two Dimentionals.We usually put a square brackets over the rows and columns to show that there is a matrix in this area.
A number of rows and a number of columns is used to determine the size of the matrices.The size of the matrices is determined by the number of rows and columns in the matrix.The row matrices are the ones that only have one row.Column matrices are those matrices that have only one column.The zero matrices are a type of matrices with all elements zero.
It's also known as a null matrix or void matrix.The square matrices have the same number of elements as row and column elements.In a square matrix principal diagonal is represented by elements that fall in the diagonal line.There are other names for the diagonal.Diagonal main diagonal or leading diagonal elements are what it is referred to as.
The unit matrix has its values in the diagonal and the rest of the elements are all zero.All of the elements will have a value of 1.triangular matrix is a type of matrix in the square matrix.If the elements in the bottom of the diagonal are zero it's called the triangular matrix.If all of the elements in the matrices are equal then the two matrices are equal.
If any of the elements isn't the same or not in the same order then it's called a unequal matrices.Adding multiplication and subtracting are some of the operations we can perform on matrixes.Only the division of two matrices is impossible.There are certain requirements to be satisfied before adding subtracting and multiplication are performed.If we have to multiple a matrix with a constant we need to add all elements of the matrix with the same element.
If both the matrices have the same number of rows and columns we can do addition and subtract them.A+B 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 is indicated by the subtracting of Matrix A with matrix B.We need to first confirm that 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 say that such an addition or subtraction is not possible.