What is the necessary condition for a real symmetric matrix $ A_{m\times m} $ to be written as $B*B^T$ where $B$ is an $(m\times 1)$ matrix ?
Decomposition of a symmetric matrix into multiplication of two vectors
2
$\begingroup$
linear-algebra
matrices
-
5$B*B^T$ will have rank 1 – 2012-06-01
-
0then it is not possible unless $A$ has only one independent row/column. Thanks! – 2012-06-01
-
1Consider answering your own question and accepting it. – 2012-06-01
-
1Also relevant to see: The matrix will be semi-positive definite. Also, the numbers on the diagonal have to have squareroots. – 2012-06-01
-
1How about the more general case $A=B*C$ where $C$ is a $1\times m$ matrix and $A$ is a general matrix ? – 2012-06-02