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11 Samacheer Maths Solutions for 7.3.4 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.
One of the oldest concepts in the history of mathematics is the matrix and the Determinants.ItThe concepts were developed in the late 17th century.The mathematicians had a problem with multiple simultaneous linear equations that required matrices and determinants.Some of the clay tablets created with the matrices which are still preserved are from the Babylonian era.
In the normal life it has wider applications.In modern applications the matrices are used to solve problems with a computer.The predictions and model developments using matrices are included in the analytics problems.A lawyer and a mathematician worked together in the 17th century.The concept of matrix has been used in mathematics.
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 practise.The basis for the term determinants is found in the form of the quadrangular form.Gauss came up with the idea in the 17th Century.The concept of determinants was expanded by another mathematicianmatrices can be used to write the coefficients of the equations.
Most corporates and educational institutions use excel spread sheet to represent data as a matrices.Many of the dashboards for management decision making and operational analysis are also in a matrices format with rows and columns.A table with years in the columns and states in the rows can show the population across different states in India for the past 10 years.A rectangular array of elements is called a matrix.We usually put a square brackets over the rows and columns to show that there is a matrix within.
The size of the matrices is determined by the number of columns and rows in them.If a matrix has 10 rows and 5 columns the size of the matrix is 50.The matrices that only have one row are called row matrices.The matrices that only have a single column are referred to as column matrices.A zero matrix is a type of matrices where all elements are zero.
It's called a null Matrix.The square matrices have equal numbers of row and column elements.The elements that fall in the diagonal line are represented by the principal diagonal in the square matrix.You can find different names for the diagonal.It is also called a diagonal a main diagonal or a leading diagonal.
Unit matrix have values only in the diagonal and the rest of the elements are all zero.The elements will have a value if they are diagonal.Triangular matrix is a type of matrix found in the square matrix.If all the elements in the bottom of the diagonal are zero then the triangular matrix is called square matrix.If all the elements in the matrices are equal we can say that the two matrices are not equal at all.
If any element isn't the same or not in the same order then it's called an equal matrices.We can do operations on multiplication.The division of two matrices is impractical.There are certain conditions that must be satisfied before we can do the operations.If we have to multiple a matrix with a constant we need to add all the elements of the matrix with a single element.
If both matrices have the same number of rows and columns we can add and subtract from them.The addition of matrix A with matrix B shows A+B of all the elements of the matrices.A-B of each of the elements of the matrices is indicated by the subtraction of matrix A with matrix B.We need to 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.We have to mention in the result that adding or subtracting something is not possible.