Recall that the Moore-Penrose inverse of a matrix
A [member of] [C.
Where the matrix O = AT-AT BB+ and (OA) + represent the Moore-Penrose generalized inverse of a matrix
Secondary school teachers may use this activity to consolidate their students' learning of certain concepts of matrices such as the algorithm for matrix multiplication and the concept of the multiplicative inverse of a matrix.
For instance, teachers can teach students to make use of the functions such as MMULT, MDETER and MINVERSE in Microsoft Excel to perform matrix multiplication, as well as to find the determinant and inverse of a matrix.
Subroutines for Testing Programs that Computer the Generalized Inverse of a Matrix
The case q = -1, which leads to estimates of the trace of the inverse of a matrix, was studied in ; on this problem, see .
This idea was introduced in  for estimating the norm of the error in the solution of a system of linear algebraic equations, and it was used in  for estimating the trace of the inverse of a matrix.
1](z) given in , which leads to the estimate of the trace of the inverse of a matrix.
which leads to the two-term estimate given in  for the trace of the inverse of a matrix.
4, the structure of the inverse of a matrix F is given by the transitive closure of the directed graph of the transposed matrix [F.
4 that the directed graph of the inverse of a matrix is the transitive closure of the directed graph corresponding to the matrix.