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11 Samacheer Maths Solutions for 7.1.22 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.It hasTrademarkia hasConcepts were developed during the 17th century.When the mathematicians tried to solve a problem related to multiple simultaneous linear equations they needed matrices and determinants.Some of the clay tablets are still preserved and are from the Babylonians era.
In the normal life this has more applications.The matrices are used to solve complex problems using the computer.Predicting model developments using matrices are included in the analytics problems.The word matrix was used by a lawyer and a mathematician in the 17th century.The concept of matrix was a powerful one among the concepts of mathematics.
In terms of 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 of the term can be found in the form of the quadratic form.Gauss came up with the idea in 17th century.The concept of determinants was expanded by another well-known mathematician.The coefficients of linear equations are written using matrices.
Almost all corporates and educational institutions use an excel spread sheet to represent their data.A lot of the dashboards developed for management decision making and operational analysis are in a 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 for the past 10 years.The elements are divided into rows and columns.We usually put a square brackets over the rows and columns to show that the elements are in a matrix.
The size of the matrices is determined by multiplication of A * B if the matrices have A number of rows and B number of columns.The size of a matrices is determined by the number of rows and columns.Row matrices are the matrices that have a single row.The matrices with only a single column are called column matrices.The zero matrices are a type of matrices in which all elements are zero.
It is also known as a void matrix or null matrix.The square matrices have the same number of row elements.The elements in the diagonal line represent the principal diagonal in a square matrix.There are lots of different names for the diagonal.It's also referred to as diagonal main diagonal or leading diagonal elements.
The unit matrix has values only in the diagonal and the rest of the elements are not.All the elements will have a value of 1 in the diagonal elements.A triangular matrix is a type of matrix found on the square matrix.If all the elements in the bottom of the diagonal are zero then it's called a triangular matrix.If all elements of the matrices are equal we can say that both are equal.
If any of the elements isn't the same or not in the same order it's called a unequal matrix.Adding subtracting and multiplication are some of the algebric operations we can do.The division of two matrices cannot be done.Before we perform the operations there are certain preconditions to be satisfied.We need to add all the elements of the matrices with a single element.
If both the matrices have the same number of rows and columns we can do addition and subtraction of them.A+B of each of the elements of the matrices is determined by the addition of matrix A with matrix B.A-B of the elements of the matrices is indicated by the addition of Matrix A with matrix B.We need to first verify 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 need to state in the result that it is not possible.