Rank of Matrix_Normal Form .pptx

The rank of a matrix by using the normal form method

1. UNIT-I Matrices Dr.E.Prasad Asst Professor, Dept of Mathematics VNR VJIET LINEAR ALGEBRA 1 Dr.E.Prasad,Asst Professor

2. Lecture 2 Normal Form 2 Dr.E.Prasad,Asst Professor

3. 3 Dr.E.Prasad,Asst Professor Definition : If a matrix A of order mxn is reduced to the form , , , and , using a sequence of elementary transformations then it called canonical or normal form. denotes identity matrix of order r and the rank is r. CANONICAL FORM Or NORMAL FORM

4. 4 Dr.E.Prasad,Asst Professor

5. 5 Dr.E.Prasad,Asst Professor

6. 6 Dr.E.Prasad,Asst Professor

7. 7 Dr.E.Prasad,Asst Professor

8. 8 Dr.E.Prasad,Asst Professor

9. 9 Dr.E.Prasad,Asst Professor

10. 10 Dr.E.Prasad,Asst Professor