About Linear Algebra

I would like to know the statement is always true or sometimes false,
and what is the reason:
A is a square matrix
P/S: I denote transpose A as A^T
1)If AA^T is singular, then so is A;
2)If A^2 is symmetric, then so is A.

.

Relevant Pages

  • Re: About Linear Algebra
    ... and what is the reason: ... A is a square matrix ... P/S: I denote transpose A as A^T ...
    (sci.math)
  • Re: About Linear Algebra
    ... A is a square matrix ... P/S: I denote transpose A as A^T ... 1)If AA^T is singular, then so is A; ...
    (sci.math)
  • Re: About Linear Algebra
    ... and what is the reason: ... P/S: I denote transpose A as A^T ... 1)If AA^T is singular, then so is A; ...
    (sci.math)
  • Re: About Linear Algebra
    ... P/S: I denote transpose A as A^T ... 1)If AA^T is singular, then so is A; ... Arturo Magidin ...
    (sci.math)
  • Re: About Linear Algebra
    ... On 28.09.2006 18:27, Arturo Magidin wrote: ... P/S: I denote transpose A as A^T ... 1)If AA^T is singular, then so is A; ...
    (sci.math)