Matrix Total Calculator Free is a simple and intuitive app:
it is a powerful tool to calculate decompositions and other various matrix operations; MTC is able to do:

In this FREE version

-Elementary Operation
Addition   (2 by 2 Matrix)
Subtraction   (2 by 2 Matrix)
Multiplication   (2 by 2 Matrix)
Scalar Multiplication (2 by 2 Matrix)
Transpose   (2 by 2 Matrix)
Norms   (2 by 2 Matrix)

-Derived Quantities
Determinant  (2 by 2 Matrix)
Rank   (2 by 2 Matrix)
Inverse   (2 by 2 Matrix)
PseudoInverse  (2 by 2 Matrix)

-Decompositions
Cholesky   (2 by 2 Matrix)
LU whit pivoting   /* Only in Matrix Total Calculator Pro */
QR     (2 by 2 Matrix)
SVD - Singular Values /* Only in Matrix Total Calculator Pro */
Eigenvalues – Eigenvectors /* Only in Matrix Total Calculator Pro */

-Equation solution
Linear Systems M equations N unknowns /* Only in Matrix Total Calculator Pro */

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Recent changes:
Bugs fixed