You could always write your attempts with a pencil and scan your work as a picture (if you have access to a scanner or digital camera).
Anyway, these problems are generally just a combination of two different things that you already know how to do. They might be a little tedious, but I'm guessing you can easily calculate
and other such integrals. Likewise, I'm sure you know how to calculate the derivative of such functions. So all you have to do for the first two questions is integrate or differentiate all of the elements of the matrices individually, and then find the determinant afterwards.
Finding a determinant is tedious, but it's simple math you've probably known how to do since you were 8 years old! Just addition, subtraction, and multiplication.
For Q3, you'll need to figure out the values of [x], [y], and[z]. It's pretty straightforward; if -1 <= x < 0, then what's the greatest integer less than or equal to x? -1 right? You can apply the same logic to the other two. Then you just have to evaluate each of the elements of the matrix, then find the determinant afterwards.
Q4 will require you to find the determinant, then use some trig identities to simplify the results.
Q5 I'm not sure about. I'm not familiar with "I2". What is it?