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#1
Jun2107, 05:52 AM

PF Gold
P: 867

1. The problem statement, all variables and given/known data
Prove or disprove the following statement: If A is a singular matrix (detA=0) the it's similar to a matrix with a row of zeros. 2. Relevant equations 3. The attempt at a solution I know that A has an evalue 0 which means that it's similar to a matrix that has a column of zeros but how do I relate that to the rows? Thanks. 


#3
Jun2107, 07:02 AM

Sci Advisor
HW Helper
P: 9,396

Since det(A)=0, there is a row relation.
Or, consider what you do know. A^t has det 0, so there is an M with (MA^tM^1) a matrix with a column of zeroes. Now how do we get A back out again? 


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