Determinant[Matrix]:
Returns the determinant of the matrix.
Example: Determinant[{{1,
2}, {3, 4}}] gives you the number a = -2.
Invert[Matrix]:
Inverts the given matrix.
Example: Invert[{{1,
2}, {3, 4}}] gives you the inverse matrix
{{-2, 1}, {1.5, -0.5}}.
Transpose[Matrix]: Transposes the matrix.
Example: Transpose[{{1,
2}, {3, 4}}] gives you the matrix {{1, 3}, {2, 4}}.