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?

Let X be a matrix of order 3 x 3, Y be a matrix of order 2 x 3 and Z be a matrix of order 3 × 2. Which of the following statements are correct?

I. (ZY)X is defined and is a square matrix of order 3.

II. Y(XZ) is defined and is a square matrix of order 2.

III. X(YZ) is not defined.

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