7 votes
123
In the LU decomposition of the matrix $\begin{bmatrix}2 & 2 \\ 4 & 9\end{bmatrix}$, if the diagonal elements of $U$ are both $1$, then the lower diagonal entry $l_{22}$ o...
0 votes
124
2 votes
133
The product of three integers $X$, $Y$ and $Z$ is $192$. $Z$ is equal to $4$ and $P$ is equal to the average of $X$ and $Y$. What is the minimum possible value of $P$?$6$...
15 votes
134
Given that $f(y)=\frac{ \mid y \mid }{y},$ and $q$ is non-zero real number, the value of $\mid f(q)-f(-q) \mid $ is $0$ $-1$ $1$ $2$
6 votes
142
The matrix $A=\begin{bmatrix} 1 &4 \\ 2 &3 \end{bmatrix}$satisfies the following polynomial $A^{5}-4A^{4}-7A^{3}+11A^{2}-2A+kI=0$Then the value of k is ______________
59 votes
147
What is the generating function $G(z)$ for the sequence of Fibonacci numbers?
1 votes
149
$\int \left ( \sin\theta \right )^{\frac{1}{2}}d\theta$