Question

Let x belongs to R^3 be a non-zero column vector and x^T be the transpose of vector x.
find the rank of matrix xx^T. Also comment on the rank of x^Tx.​

Answer 1

Answer:

In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by AT (among other notations).