If A a matrix in Mathematica, e.g.
A = {{1, 2}, {4, 5}}
the usual matrix operations on A, Det[A], Transpose[A], Inverse[A], etc. all produce the correct numerical output.
However if we apply the same operations on MatrixForm[A], the numerical output is not produced. For example Transpose[MatrixForm[A]] results in
Why is this the case?