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11 Samacheer Maths Solutions for 7.1.20 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 matrix and Determinants.It it hasTrademarkiaThe concepts were created in the 17th century.When the mathematicians were trying to solve the problem with multiple simultaneous linear equations there was a need for matrices and determinants.Some of the clay tablets were created with matrices which are still preserved.
It can be used in the normal life.In modern application the matrices are used to solve problems.Predicting and model developments using matrices are included in the analysis problems.A lawyer and a mathematician co-created the word matrix in the 17th century.The concept of matrix was used to great effect among the concepts of mathematics.
In relation to 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 practice.The basis for the term was found in the form of the quadratic form.Gauss used this in 17th Century.The concept of determinants was extended by another mathematician.matrices can be used to write the coefficients of equations.
Almost all corporates and educational institutions use excel spread sheet to represent data as matrices.A lot of the dashboards developed 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 in different states over the past 10 years.A matrix is a rectangular array of elements in rows and columns.The brackets are usually placed over the rows and columns to indicate that a matrix has been created.
The size of the matrices is determined by multiplication of A * B.The size of the matrices would be 50 if there were 10 rows and 5 columns.row matrices are matrices that have a single row.Column matrices are those matrices that only have one column.The zero matrices are matrices with zero elements.
It's called a null matrix.There is equal number of row elements and column elements in the square matrices.In a square matrix the principal diagonal is represented by elements that fall in the diagonal line.There are multiple names for the diagonal.It's also called a diagonal a main diagonal or a leading diagonal.
Values in the diagonal are the only ones in the unit matrix.All elements with the same value will be in the diagonal elements.There is a special type of matrix called a triangular matrix.If all of the elements in the bottom of the diagonal are zero it's called the triangular matrix.If all the elements in the matrices are equal we can say that the two matrices are the same.
If any of the elements are not the same or not in the same order it's called a unequal matrix.Adding multiplication and subtracting can be done algebrically.Only the division of two matrices is doable.It is necessary for us to be satisfied before we perform the operations.If we have to multiple a matrix with a constant then we need to add the elements of the matrix with the scalar element.
If both matrices have the same number of rows and columns we can add and subtract them together.The addition of matrix A with matrix B indicates A+B of the elements of the matrices.The A-B of the elements of the matrices can be seen by subtracting Matrix A with matrix B.We need to first determine 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 mention in the result that it is not possible.