Engineering Mathematics GATE-2001
Q 1: The value of the following determinant
\begin{bmatrix}1&0&0&0&0\\-2&2&0&0&0\\3&5&3&0&0\\-1&4&7&4&0\\-50&-6&2&1&1\end{bmatrix}Q 2: The value of (1+i)^8 , where i=\sqrt{-1} , is
Q 3: The function f(x,y)=x^2+y^2-xy-x-y+5 has the
Q 4: A fair die is rolled four times. Find the probability that six shows up twice.