MCQs of Determinants

Showing 71 to 80 out of 83 Questions

71.

if |\begin{matrix} 1 & 3 & 4 \\ 2 & - 1 & 0 \\ 3 & 6 & 9 \end{matrix}| = x, then |\begin{matrix} 1 & 6 & 4 \\ 6 & - 6 & 0 \\ 1 & 4 & 3 \end{matrix}| =_____

72.

|\begin{matrix} 2 \sin \frac{π}{3} & 1 & 0 \\ 1 & 2 s i n \frac{π}{3} & 1 \\ 0 & 1 & 2 \cos \frac{π}{6} \end{matrix}| =_____

73.

|\begin{matrix} 1 & 1 & 1 \\ 4 & 3 & 5 \\ 4^{2} & 3^{2} & 5^{2} \end{matrix}| =_____

74.

|\begin{matrix} 1 & 5 & 41 \\ 7 & 9 & 79 \\ 5 & 3 & 29 \end{matrix}| =_____

75.

|\begin{matrix} 1! & 2! & 3! \\ 2! & 3! & 4! \\ 3! & 4! & 5! \end{matrix}| =_____

76.

|\begin{matrix} \sum_{r = 1}^{16} 2^{r} & a & 2^{16} - 1 \\ {3 \sum}_{r = 1}^{16} 4^{r} & b & 2 (4^{16} - 1) \\ {7 \sum}_{r = 1}^{16} 8^{r} & c & 4 (8^{16} - 1) \end{matrix}| =_____.

77.

if |\begin{matrix} x & 1 & 1 \\ - 1 & x & 1 \\ - 1 & - 1 & x \end{matrix}| = 0, then x =_____

78.

|\begin{matrix} a + 2 b & a + 3 b & a + 4 b \\ a + 3 b & a + 4 b & a + 5 b \\ a + 4 b & a + 5 b & a + 6 b \end{matrix}| =_____

79.

if D_{r} = |\begin{matrix} r & 3 & 15 \\ r^{2} & 11 & 35 \\ r^{3} & 45 & 25 \end{matrix}|, then D_{1} + D_{2} + D_{3} + D_{4} + D_{5} =_____

80.

if |\begin{matrix} 1 & 2 & 1 \\ 2 & - x & 2 \\ - 3 & - 3 & x \end{matrix}| = 0, then x =_____

Showing 71 to 80 out of 83 Questions