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11 Samacheer Maths Solutions for 7.3.2 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.
It was one of the oldest concepts in the history of mathematics.It has has hasThe concepts were created during the 17th century.When the mathematicians tried to solve the problem they needed matrices and determinants.Some of the clay tablets they created with the matrices which are still preserved are from the Babylonians era.
This has applications in the ordinary life.The matrices are used to solve problems with a computer.Predicting and prescriptive model developments are part of the analytic problems.In the 17th century a lawyer and a mathematician came up with the term matrix.The concept of matrix was a powerful example of mathematics.
In terms of organizing 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 practise.The basis for the term is the form of the ellipses.Gauss came up with the idea of this in 17th century.The concept of predictors was expanded by another famous mathematician.The coefficient of the linear equation can be written using matrices.
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 matrices format with rows and columns.A table with years in the columns and states in the rows can easily show the population of India over the past 10 years.A matrix is a rectangular array of elements distributed in two diments.We put a square brackets over the rows and columns to indicate that there is a matrix within it.
The size of the matrices is determined by multiplication of A * B if the matrices are having A number of rows and B number of columns.If there are 10 rows and 5 columns then the matrices size is 50.The matrices that have a single row are called row matrices.The matrices that have only a single column are called column matrices.The zero matrices are types of matrices where all elements are 0.
It's also called null Matrix.The square matrices have the same number of elements in row and column.There are elements that fall in the diagonal line that represent the principal diagonal.There are different names for the diagonals.It is called a diagonal main diagonal or leading diagonal element.
The unit matrix have the values in the diagonal and the rest of the elements are all zero.All elements have the same value.The triangular matrix is a type of matrix that can be found on the square matrix.If all the elements in the bottom of the diagonal are zero then it is called a triangular matrix.If all of the elements in the matrices are equal we can say that the two matrices are the same.
If any of the elements isn't the same or not in the same order then it's called an equal matrices.Adding multiplication andSubtraction are some of the operations we can do.The division of two matrices is not possible only the division of two matrices is possible.There are certain conditions to be satisfied before we do the operations.If we have to multiple a matrix with a constant we need to add all elements of the matrices with the same element.
If both matrices have same number of rows and columns we can add and subtract matrices.The addition of matrix A with matrix B shows the A+B of the elements in the matrices.The A-B of each of the elements of the matrices was indicated by the subtraction of Matrix A with matrix B.We need to make sure that 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 mention in the result that an addition or subtraction isn't possible.