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