GATE 2013 Preparation (17-08-2012)

Hi Friends,

                     First of all I am sorry for late post, as I was very busy, i could made time for time post.

GATE 2013 preparation must be started as the notification is already released.

Today we are dealing with the synopsis of the chapter, in the next session (may be tomorrow or day after tomorrow)  will be dealing with the problems of the chapter, If you have any query you can comment, your query will be answered spontaneously.

ELEMENTARY CONCEPTS OF LINEAR AND MATRIX ALGEBRA

Introduction:

1. A matrix is a set of rows and columns.
2. A matrix contains m rows and n columns are called a matrix of order mxn.
3. A matrix is said to be square matrix if the number of rows and number of columns are same.
4. The elements a11, a22, a33…are called diagonal elements.
5. A matrix having only one row is called row matrix.
6. A matrix having only one column is called column matrix.
7. A matrix which has all elements as zero except diagonal elements is called diagonal matrix.
8. A matrix which is diagonal matrix and all the diagonal elements are same it is called scallar matrix.
9. A matrix which is Scalar matrix and all the diagonal elements are 1 it is called Identity matrix.
10. A matrix obtained by interchanging the rows and columns of the matrix is called transpose of the matrix
11. A matrix is symmetric matrix if A and its transpose is same.

   12. A matrix is Skew symmetric matrix if A and negative of its transpose is same.

    13. A matrix is said to be Hermitian matrix if

Matrix Multiplication rules:

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