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11 Samacheer Maths Solutions for 7.4.4 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.
In the history of mathematics matrices and Determinants are one of the earliest concepts.It has hasTrademarkiaThe 17th century was when the concepts were first developed.When mathematicians were trying to solve the problem of multiple simultaneous linear equations they needed matrices and determinants.Some of the clay tablets from the Babylonians era are still preserved.
This has applications that go beyond the normal life.In modern application the matrices are used to solve complex problems using computers.The predictions and model developments are used in the analytic problems.In the 17th century a lawyer and a mathematician co-created the word matrix.The concept of matrix was an application of mathematics.
In terms of organisation of cars in a parking area coconut trees in a farm land and storage of boxes in a storage area we can see matrices.The basis of the term is found in the form of a triangle.It was used by Gauss in the 17th century.Another famous mathematician expanded on the concept of determinants.The linear equation has a coefficients using matrices.
Data is represented in excel spread sheet as matrices and it is used in almost all corporate and educational institutions.Many of the dashboards developed for management decision making and operational analysis are composed of rows and columns in a matrices format.A table with years in the columns and states in the rows can be used to show the population over the last 10 years.The elements are distributed in two dimentionals as rows and columnsWe usually put a square brackets over the rows and columns to show the matrix.
The size of the matrices can be determined by the number of rows and columns.The size of the matrices is determined by the number of rows and columns in the matrices.The row matrices are the ones with only one row.A column matrices are matrices that only have one column.The zero matrices are matrices in which all the elements are 0.
It's also called a null matrix or a void matrix.There are equal number of row elements and column elements in the square matrix.The principal diagonal is represented by elements that are in the diagonal line in a square matrix.There is a name for the diagonal.It's also called the main diagonal or the leading diagonal.
The unit matrix have values only in the diagonal the rest of the elements are all zero.The elements have a value of 1 in the diagonal ones.A triangular matrix is a special type of matrix that is found in the square matrix.If all the elements in the bottom of the diagonal are zero then it's called a triangular matrix in the square matrix.If all the elements 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 it's a matrix.Adding multiplication andSubtracting are some of the operations we can do.It is impossible to divide two matrices.There are certain things we have to be satisfied with before we can perform the operations.If we need to multiple a matrix with a constant then we need to add all the elements of the matrices together.
If the matrices are having the same number of rows and columns we can add and subtract them.In that case the addition of matrix A with matrix B shows the A+B of the elements of the matrices.The A-B of the elements of the matrices are indicated by the addition of Matrix A with Matrix B.If the number of rows and columns in one matrix is the same as the number of rows and columns in another matrix then we need to add or subtract that matrix.We need to mention in the result that adding or subtracting is not possible if not.