If $$\left[ {\matrix{ x & { - 3i} & 1 \cr y & 1 & i \cr 0 & {2i} & { - i} \cr } } \right] = 6 + 11i$$, then what are the values of x and y respectively?

If A is an identity matrix of order 3, then its inverse (A^$$-$$1)

A is a square matrix of order 3 such that its determinant is 4. What is the determinant of its transpose?

Consider the following in respect of non-singular matrices A and B:

I. $(AB) ^ {- 1} = A ^ {- 1} B ^ {- 1}$

II. $ (BA)(AB)^{-1}=I$ = I where I is the identity matrix

III. $ (AB)^{T}=A^{T}B^{T} $

How many of the above are correct?