Recently Posted Questions

Group Theory

Question 22 (Group Theory)

Let $H$ and $K$ are subgroups of $\mathbb{Z}_{144}$, if order of $H$ is 24 and order of $K$ is 36, then order of the subgroup …

ByDr. Pawan -

Question 20 (Group Theory)

Let $G=M_{3\times 3}(\mathbb{Z})$, let $*$ denote componentwise multiplication of matrices, then- (a) $(G,*)$ is a group (b…

ByDr. Math -
ODE

Question 19 (Differential Equation)

Let $y(x)$ is the solution of the D.E. $y' = y(y-2); y(0)=\alpha,$ then- (a) $y(x)$ is increasing for all $\alpha$ (b) …

ByDr. Math -
Complex Analysis

Question 18 (Complex Analysis)

Let $f$ be a holomorphic function on $0 < |z| < \epsilon$, $\epsilon > 0$ given by a convergent Laurent Series $\sum_…

ByDr. Math -
Linear Algebra

Question 17 (Linear Algebra)

Let $A$ is $2 \times 2$ matrix with $\det(A) \neq 0$, then under what condition $Ch(A) - Ch(A^{-1})$ is constant- (a) $\det…

ByDr. Math -
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