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Null matrix and invertible matrixby seema283k
Tags: theorem 
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#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. 


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