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11 Samacheer Maths Solutions for 7.2.16 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 field of mathematics is conjugates and Determinants.It hasTrademarkia hasConcepts were well developed during the 17th century.When the mathematicians were trying to solve the problem with multiple simultaneous linear equations they needed matrices and determinants.Some of the clay tablets that were created with these matrices are still preserved.
The normal life has wider uses for this.In modern application the matrices are used to solve problems using a computer.The predictions and model developments are included in the analytic problems.A lawyer and a mathematician in the 17th century created the word matrix.The concept of matrix had a powerful application to mathematics.
When it comes to arranging 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 made up of the quadratic form.It was created by Gauss in the 17th century.The concept of determinants was enlarged by another mathematician.We can use matrices to write the coefficients of the equation.
Almost all corporates and educational institutions use excel spread sheet to represent data as a matrices.Many of the dashboards developed for management decision making and operational analysis are also in matrices format with tables that comprise of rows and columns.A table with years in the columns and states in the rows can easily show the population of India for the past 10 years.There is a rectangular array of elements distributed in two dimentional rows and columns.The brackets are usually placed over the rows and columns to show that the elements are in a matrix.
If the matrices have A number of rows and B number of columns the size of the matrices is determined by multiplication of A * B.The size of the matrices is based on the number of rows and columns.Row matrices are matrices that have only one row.A single column matrices are called column matrices.The zero matrix is a type of matrices where all elements are 0.
It's also called the null Matrix.There are square matrices with the same number of row elements and column elements.A square matrix can have a principal diagonal that is represented by elements in the diagonal line.There are names for this diagonal.It is also called a diagonal or a main diagonal.
The unit matrix have only values in the diagonal and the rest of the elements are all zero.All the elements in the diagonal will have a value.There is a type of matrix called a triangular matrix.If all the elements in the bottom of the diagonal are zero it's called a triangular matrix in the square matrix.If all the elements of the matrices are equal then we can say that both are equal.
If any element isn't the same or not in the same order then it's called an equal matrix.Adding multiplication and subtracting are some of the operations we can do on matrix.Only the division of two matrices is possible but not the other way around.There are certain requirements to be satisfied before we do any operations.If we have a matrix with a constant we need to add all the elements to it.
If both matrices have the same number of rows and columns we can add and subtract the matrices.The addition of matrix A with matrix B shows the elements of the matrices.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 of one matrix is the same as the number of rows and columns in the other matrix we can add or subtract them.If not we need to state in the result that adding or subtracting something is not possible.