
#1
Aug1609, 01:06 AM

P: 4

how can we use property of null matrix .explain it by giving examples.
please give me explanation of the theoremif A is a null matrix & B is any matrix then I+AB is invertible iff I+BA is invertible 



#2
Aug2009, 12:02 AM

P: 30

Are you sure you mean the null matrix?
Because the null matrix is the matrix with all zero entries. So if A is the null matrix, then I+AB=I=I+BA. I is invertible. So for your theorem, both the hypothesis and conclusion are true (in both directions). Making the theorem vacuously true. 


Register to reply 
Related Discussions  
Invertible Matrix  Calculus & Beyond Homework  1  
Demonstrate that a matrix that has a null row is not invertible  Calculus & Beyond Homework  5  
invertible matrix  Calculus & Beyond Homework  5  
Invertible matrix  Precalculus Mathematics Homework  14  
Invertible Matrix  Linear & Abstract Algebra  1 