Choose the correct options for the following questions.
Determinant of $\begin{bmatrix}rcos\theta& 1&-sin\theta\\0&1 & 0\\rsin\theta&0&cos\theta \end{bmatrix}$=
Difficulty: Easy
A:
0
B:
1
C:
-1
D:
r
Determinant of $\begin{bmatrix}1& 1&1\\1&1+x & 1\\1&1&1+y\end{bmatrix}$=
Difficulty: Easy
A:
0
B:
1
C:
(1+x)(1+y)
D:
2xy
Determinant of $\begin{bmatrix}b+c& a&a\\b&c+a & b\\c&c&a+b\end{bmatrix}$=
Difficulty: Easy
A:
0
B:
(a+b+c)
C:
abc
D:
4abc
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