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11 Samacheer Maths Solutions for 7.2.15.1 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 matrix and the Determinants.ItTrademarkia hasTrademarkia hasTrademarkiaIn the 17th Century the concepts were well-developed.When mathematicians tried to solve a problem with multiple linear equations they needed matrices and determinants.Some of the clay tablets created with the matrices which are still preserved have traces to the Babylonians era.
This is applicable to the normal life.The matrices are used to solve complicated problems using a computer.Predictable model developments using matrices are part of the analytic problems.The word matrix was created by a lawyer and a mathematician in 17th century.The concept of matrix was a powerful application of mathematics.
Cars in a parking area coconut trees in a farm land and storage of boxes in a storage area are all examples of matrices in common practise.The basis of the term determinants can be found in the quadratic form.This was used by Gauss in 17th century.The concept of determinants has been expanded by another famous mathematician.matrices can be used to write the linear equation coefficients.
In data is represented in excel spread sheet as a 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 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 India for the last 10 years.A rectangular array of elements distributed in two dimentionals as rows and columns.We usually put a square brackets around the rows and columns to show that there is a matrix.
If the matrices have A number of rows and B number of columns the size of the matrices is determined by the number of rows and columns.If there are 10 rows and 5 columns the matrices size is 50.Row matrices are the matrices that have only a single row.Column matrices are matrices that don't have more than one column.A zero matrix is a type of matrices where all elements are 0.
It's called a Void Matrix or a null Matrix.The square matrix has the same number of row and column elements.In a square matrix the elements that fall in the diagonal line are represented by the principal diagonal.There are more than one name for the principal diagonal.It is also known as diagonal main diagonal or leading diagonal elements.
The unit matrix has values in the diagonal and the rest of the elements are not.All elements in the diagonal will have the same value.triangular matrix is a type of matrix found on the square matrix.If all of the elements in the bottom of the diagonal are zero it's called a triangular matrix.If the elements in the matrices are equal we can say that the two matrices are not equal.
If any of the elements is not the same or not in the same order it is called an equal matrix.Adding multiplication and subtracting are some of the operations that we can do on the matrix.It is impossible to division two matrices.There are certain conditions that need to be satisfied before we can perform the operations.If we have to multiple a matrix with a constant then we need to add all the elements of the matrix with a single element.
If both the matrices have the same number of rows and columns we can add or subtract them.Adding matrix A with matrix B shows A+B of each of the elements of the matrices.A-B of the elements of the matrices is indicated by the subtraction of matrix A with matrix B.We need to confirm if the number of rows and columns in one matrix is the same as the number of rows and columns in the other matrix.If not we need to state in the result that adding or subtracting is not possible.